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How to use it?
Least common denominator:
(x-2*cos(x)/sin(x)+2*x*cos(x)^2/sin(x)^2)/sin(x)
(x^2-8*x/9+493/1000)*(x-x^2/2)/3
((x+2)/(2-x)-(2-x)/(x+2))*((x-2)^2)
w2/212*a+w-144*a2/212*a+w
Factor polynomial:
y^3/3+2*x*y^2
y^2+x*y+x^2+2*x+2*y
y^2+625
y^2+5^3
Factor squared:
-y^4+2*y^2-9
-y^4+2*y^2-7
y^4-3*y^2+5
y^4+2*y^2+4
How do you in partial fractions?:
(x-6)/(x^2-36)
1/(x^2-4x+4)
-1/(x+1)^2
-10*x/(x^2-16)^2
Identical expressions
tan(x^ two)/(x*log(two))-x/(x*sqrt(one -x^ two))+ two *x*(one +tan(x^ two)^ two)*log(x)/log(two)
tangent of (x squared ) divide by (x multiply by logarithm of (2)) minus x divide by (x multiply by square root of (1 minus x squared )) plus 2 multiply by x multiply by (1 plus tangent of (x squared ) squared ) multiply by logarithm of (x) divide by logarithm of (2)
tangent of (x to the power of two) divide by (x multiply by logarithm of (two)) minus x divide by (x multiply by square root of (one minus x to the power of two)) plus two multiply by x multiply by (one plus tangent of (x to the power of two) to the power of two) multiply by logarithm of (x) divide by logarithm of (two)
tan(x^2)/(x*log(2))-x/(x*√(1-x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)
tan(x2)/(x*log(2))-x/(x*sqrt(1-x2))+2*x*(1+tan(x2)2)*log(x)/log(2)
tanx2/x*log2-x/x*sqrt1-x2+2*x*1+tanx22*logx/log2
tan(x²)/(x*log(2))-x/(x*sqrt(1-x²))+2*x*(1+tan(x²)²)*log(x)/log(2)
tan(x to the power of 2)/(x*log(2))-x/(x*sqrt(1-x to the power of 2))+2*x*(1+tan(x to the power of 2) to the power of 2)*log(x)/log(2)
tan(x^2)/(xlog(2))-x/(xsqrt(1-x^2))+2x(1+tan(x^2)^2)log(x)/log(2)
tan(x2)/(xlog(2))-x/(xsqrt(1-x2))+2x(1+tan(x2)2)log(x)/log(2)
tanx2/xlog2-x/xsqrt1-x2+2x1+tanx22logx/log2
tanx^2/xlog2-x/xsqrt1-x^2+2x1+tanx^2^2logx/log2
tan(x^2) divide by (x*log(2))-x divide by (x*sqrt(1-x^2))+2*x*(1+tan(x^2)^2)*log(x) divide by log(2)
Similar expressions
tan(x^2)/(x*log(2))+x/(x*sqrt(1-x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)
tan(x^2)/(x*log(2))-x/(x*sqrt(1-x^2))+2*x*(1-tan(x^2)^2)*log(x)/log(2)
tan(x^2)/(x*log(2))-x/(x*sqrt(1-x^2))-2*x*(1+tan(x^2)^2)*log(x)/log(2)
tan(x^2)/(x*log(2))-x/(x*sqrt(1+x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)

Expression simplification/ Least common denominator/ tan(x^2)/(x*log(2))-x/(x*sqrt(1-x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)

Least common denominator tan(x^2)/(xlog(2))-x/(xsqrt(1-x^2))+2x(1+tan(x^2)^2)*log(x)/log(2)

The solution

You have entered [src]

   / 2\                        /       2/ 2\\       
tan\x /          x         2*x*\1 + tan \x //*log(x)
-------- - ------------- + -------------------------
x*log(2)        ________             log(2)         
               /      2                             
           x*\/  1 - x

$$\frac{2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} + \left(- \frac{x}{x \sqrt{1 - x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}\right)$$

tan(x^2)/((x*log(2))) - x/(x*sqrt(1 - x^2)) + (((2*x)*(1 + tan(x^2)^2))*log(x))/log(2)

General simplification [src]

                   / 2\                   
       1        tan\x /       2*x*log(x)  
- ----------- + -------- + ---------------
     ________   x*log(2)      2/ 2\       
    /      2               cos \x /*log(2)
  \/  1 - x

$$\frac{2 x \log{\left(x \right)}}{\log{\left(2 \right)} \cos^{2}{\left(x^{2} \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}$$

-1/sqrt(1 - x^2) + tan(x^2)/(x*log(2)) + 2*x*log(x)/(cos(x^2)^2*log(2))

Numerical answer [src]

-(1.0 - x^2)^(-0.5) + 1.44269504088896*tan(x^2)/x + 2.88539008177793*x*(1.0 + tan(x^2)^2)*log(x)

-(1.0 - x^2)^(-0.5) + 1.44269504088896*tan(x^2)/x + 2.88539008177793*x*(1.0 + tan(x^2)^2)*log(x)

Rational denominator [src]

      ________                                                                                                                                                     
 2   /      2     2       3           / 2\               / 2\      3                    5                    3    2/ 2\                    5    2/ 2\              
x *\/  1 - x  *log (2) + x *log(2)*tan\x / - x*log(2)*tan\x / - 2*x *log(2)*log(x) + 2*x *log(2)*log(x) - 2*x *tan \x /*log(2)*log(x) + 2*x *tan \x /*log(2)*log(x)
-------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                         2 /      2\    2                                                                          
                                                                        x *\-1 + x /*log (2)

$$\frac{2 x^{5} \log{\left(2 \right)} \log{\left(x \right)} \tan^{2}{\left(x^{2} \right)} + 2 x^{5} \log{\left(2 \right)} \log{\left(x \right)} - 2 x^{3} \log{\left(2 \right)} \log{\left(x \right)} \tan^{2}{\left(x^{2} \right)} - 2 x^{3} \log{\left(2 \right)} \log{\left(x \right)} + x^{3} \log{\left(2 \right)} \tan{\left(x^{2} \right)} + x^{2} \sqrt{1 - x^{2}} \log{\left(2 \right)}^{2} - x \log{\left(2 \right)} \tan{\left(x^{2} \right)}}{x^{2} \left(x^{2} - 1\right) \log{\left(2 \right)}^{2}}$$

(x^2*sqrt(1 - x^2)*log(2)^2 + x^3*log(2)*tan(x^2) - x*log(2)*tan(x^2) - 2*x^3*log(2)*log(x) + 2*x^5*log(2)*log(x) - 2*x^3*tan(x^2)^2*log(2)*log(x) + 2*x^5*tan(x^2)^2*log(2)*log(x))/(x^2*(-1 + x^2)*log(2)^2)

Powers [src]

                   / 2\        /       2/ 2\\       
       1        tan\x /    2*x*\1 + tan \x //*log(x)
- ----------- + -------- + -------------------------
     ________   x*log(2)             log(2)         
    /      2                                        
  \/  1 - x

$$\frac{2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}$$

                    /                      2\                                   
                    |    /      2        2\ |                                   
                    |    |   I*x     -I*x | |                                   
                    |    \- e     + e     / |                                   
                2*x*|1 - -------------------|*log(x)                            
                    |                     2 |                                   
                    |     /    2        2\  |               /      2        2\  
                    |     | I*x     -I*x |  |               |   I*x     -I*x |  
       1            \     \e     + e     /  /             I*\- e     + e     /  
- ----------- + ------------------------------------ + -------------------------
     ________                  log(2)                    /    2        2\       
    /      2                                             | I*x     -I*x |       
  \/  1 - x                                            x*\e     + e     /*log(2)

$$\frac{2 x \left(- \frac{\left(- e^{i x^{2}} + e^{- i x^{2}}\right)^{2}}{\left(e^{i x^{2}} + e^{- i x^{2}}\right)^{2}} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{i \left(- e^{i x^{2}} + e^{- i x^{2}}\right)}{x \left(e^{i x^{2}} + e^{- i x^{2}}\right) \log{\left(2 \right)}}$$

-1/sqrt(1 - x^2) + 2*x*(1 - (-exp(i*x^2) + exp(-i*x^2))^2/(exp(i*x^2) + exp(-i*x^2))^2)*log(x)/log(2) + i*(-exp(i*x^2) + exp(-i*x^2))/(x*(exp(i*x^2) + exp(-i*x^2))*log(2))

Combinatorics [src]

   ________                              ________                  ________                
  /      2     / 2\                 2   /      2              2   /      2     2/ 2\       
\/  1 - x  *tan\x / - x*log(2) + 2*x *\/  1 - x  *log(x) + 2*x *\/  1 - x  *tan \x /*log(x)
-------------------------------------------------------------------------------------------
                                   ___________________                                     
                               x*\/ -(1 + x)*(-1 + x) *log(2)

$$\frac{2 x^{2} \sqrt{1 - x^{2}} \log{\left(x \right)} \tan^{2}{\left(x^{2} \right)} + 2 x^{2} \sqrt{1 - x^{2}} \log{\left(x \right)} - x \log{\left(2 \right)} + \sqrt{1 - x^{2}} \tan{\left(x^{2} \right)}}{x \sqrt{- \left(x - 1\right) \left(x + 1\right)} \log{\left(2 \right)}}$$

(sqrt(1 - x^2)*tan(x^2) - x*log(2) + 2*x^2*sqrt(1 - x^2)*log(x) + 2*x^2*sqrt(1 - x^2)*tan(x^2)^2*log(x))/(x*sqrt(-(1 + x)*(-1 + x))*log(2))

Common denominator [src]

   ________                              ________                  ________                
  /      2     / 2\                 2   /      2              2   /      2     2/ 2\       
\/  1 - x  *tan\x / - x*log(2) + 2*x *\/  1 - x  *log(x) + 2*x *\/  1 - x  *tan \x /*log(x)
-------------------------------------------------------------------------------------------
                                         ________                                          
                                        /      2                                           
                                    x*\/  1 - x  *log(2)

(sqrt(1 - x^2)*tan(x^2) - x*log(2) + 2*x^2*sqrt(1 - x^2)*log(x) + 2*x^2*sqrt(1 - x^2)*tan(x^2)^2*log(x))/(x*sqrt(1 - x^2)*log(2))

Combining rational expressions [src]

   ________                              ________                      
  /      2     / 2\                 2   /      2  /       2/ 2\\       
\/  1 - x  *tan\x / - x*log(2) + 2*x *\/  1 - x  *\1 + tan \x //*log(x)
-----------------------------------------------------------------------
                               ________                                
                              /      2                                 
                          x*\/  1 - x  *log(2)

$$\frac{2 x^{2} \sqrt{1 - x^{2}} \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)} - x \log{\left(2 \right)} + \sqrt{1 - x^{2}} \tan{\left(x^{2} \right)}}{x \sqrt{1 - x^{2}} \log{\left(2 \right)}}$$

(sqrt(1 - x^2)*tan(x^2) - x*log(2) + 2*x^2*sqrt(1 - x^2)*(1 + tan(x^2)^2)*log(x))/(x*sqrt(1 - x^2)*log(2))

Expand expression [src]

                   / 2\                        2/ 2\       
       1        tan\x /    2*x*log(x)   2*x*tan \x /*log(x)
- ----------- + -------- + ---------- + -------------------
     ________   x*log(2)     log(2)            log(2)      
    /      2                                               
  \/  1 - x

$$\frac{2 x \log{\left(x \right)} \tan^{2}{\left(x^{2} \right)}}{\log{\left(2 \right)}} + \frac{2 x \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}$$

                    /       2/ 2\\             / 2\ 
       1        2*x*\1 + tan \x //*log(x)   tan\x / 
- ----------- + ------------------------- + --------
     ________             log(2)            x*log(2)
    /      2                                        
  \/  1 - x

$$\frac{2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}$$

-1/sqrt(1 - x^2) + (((2*x)*(1 + tan(x^2)^2))*log(x))/log(2) + tan(x^2)/(x*log(2))

Assemble expression [src]

                   / 2\        /       2/ 2\\       
       1        tan\x /    2*x*\1 + tan \x //*log(x)
- ----------- + -------- + -------------------------
     ________   x*log(2)             log(2)         
    /      2                                        
  \/  1 - x

$$\frac{2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}$$

-1/sqrt(1 - x^2) + tan(x^2)/(x*log(2)) + 2*x*(1 + tan(x^2)^2)*log(x)/log(2)

Trigonometric part [src]

                    /         4/ 2\\                            
                    |    4*sin \x /|                            
                2*x*|1 + ----------|*log(x)                     
                    |       2/   2\|                   2/ 2\    
       1            \    sin \2*x //              2*sin \x /    
- ----------- + --------------------------- + ------------------
     ________              log(2)                         /   2\
    /      2                                  x*log(2)*sin\2*x /
  \/  1 - x

$$\frac{2 x \left(\frac{4 \sin^{4}{\left(x^{2} \right)}}{\sin^{2}{\left(2 x^{2} \right)}} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{2 \sin^{2}{\left(x^{2} \right)}}{x \log{\left(2 \right)} \sin{\left(2 x^{2} \right)}}$$

                   / 2\           2/ 2\       
       1        tan\x /    2*x*sec \x /*log(x)
- ----------- + -------- + -------------------
     ________   x*log(2)          log(2)      
    /      2                                  
  \/  1 - x

$$\frac{2 x \log{\left(x \right)} \sec^{2}{\left(x^{2} \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}$$

                     / 2   pi\                    
                  cos|x  - --|                    
       1             \     2 /        2*x*log(x)  
- ----------- + ---------------- + ---------------
     ________        / 2\             2/ 2\       
    /      2    x*cos\x /*log(2)   cos \x /*log(2)
  \/  1 - x

$$\frac{2 x \log{\left(x \right)}}{\log{\left(2 \right)} \cos^{2}{\left(x^{2} \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\cos{\left(x^{2} - \frac{\pi}{2} \right)}}{x \log{\left(2 \right)} \cos{\left(x^{2} \right)}}$$

                                            /          2/ 2\  \       
                                            |       sec \x /  |       
                                        2*x*|1 + -------------|*log(x)
                                            |       2/ 2   pi\|       
                          / 2\              |    sec |x  - --||       
       1               sec\x /              \        \     2 //       
- ----------- + --------------------- + ------------------------------
     ________               / 2   pi\               log(2)            
    /      2    x*log(2)*sec|x  - --|                                 
  \/  1 - x                 \     2 /

$$\frac{2 x \left(\frac{\sec^{2}{\left(x^{2} \right)}}{\sec^{2}{\left(x^{2} - \frac{\pi}{2} \right)}} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\sec{\left(x^{2} \right)}}{x \log{\left(2 \right)} \sec{\left(x^{2} - \frac{\pi}{2} \right)}}$$

                   / 2\                   
       1        tan\x /       2*x*log(x)  
- ----------- + -------- + ---------------
     ________   x*log(2)      2/ 2\       
    /      2               cos \x /*log(2)
  \/  1 - x

$$\frac{2 x \log{\left(x \right)}}{\log{\left(2 \right)} \cos^{2}{\left(x^{2} \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}$$

                                       /       2/ 2\\       
                                       |    sec \x /|       
                                   2*x*|1 + --------|*log(x)
                       / 2\            |       2/ 2\|       
       1            sec\x /            \    csc \x //       
- ----------- + ---------------- + -------------------------
     ________        / 2\                    log(2)         
    /      2    x*csc\x /*log(2)                            
  \/  1 - x

$$\frac{2 x \left(1 + \frac{\sec^{2}{\left(x^{2} \right)}}{\csc^{2}{\left(x^{2} \right)}}\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\sec{\left(x^{2} \right)}}{x \log{\left(2 \right)} \csc{\left(x^{2} \right)}}$$

                     /pi    2\            2/pi    2\       
                  csc|-- - x |     2*x*csc |-- - x |*log(x)
       1             \2      /             \2      /       
- ----------- + ---------------- + ------------------------
     ________        / 2\                   log(2)         
    /      2    x*csc\x /*log(2)                           
  \/  1 - x

$$\frac{2 x \log{\left(x \right)} \csc^{2}{\left(- x^{2} + \frac{\pi}{2} \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\csc{\left(- x^{2} + \frac{\pi}{2} \right)}}{x \log{\left(2 \right)} \csc{\left(x^{2} \right)}}$$

                                       /       2/pi    2\\       
                                       |    csc |-- - x ||       
                                       |        \2      /|       
                     /pi    2\     2*x*|1 + -------------|*log(x)
                  csc|-- - x |         |          2/ 2\  |       
       1             \2      /         \       csc \x /  /       
- ----------- + ---------------- + ------------------------------
     ________        / 2\                      log(2)            
    /      2    x*csc\x /*log(2)                                 
  \/  1 - x

$$\frac{2 x \left(1 + \frac{\csc^{2}{\left(- x^{2} + \frac{\pi}{2} \right)}}{\csc^{2}{\left(x^{2} \right)}}\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\csc{\left(- x^{2} + \frac{\pi}{2} \right)}}{x \log{\left(2 \right)} \csc{\left(x^{2} \right)}}$$

                                       /       2/ 2\\       
                                       |    sin \x /|       
                                   2*x*|1 + --------|*log(x)
                       / 2\            |       2/ 2\|       
       1            sin\x /            \    cos \x //       
- ----------- + ---------------- + -------------------------
     ________        / 2\                    log(2)         
    /      2    x*cos\x /*log(2)                            
  \/  1 - x

$$\frac{2 x \left(\frac{\sin^{2}{\left(x^{2} \right)}}{\cos^{2}{\left(x^{2} \right)}} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\sin{\left(x^{2} \right)}}{x \log{\left(2 \right)} \cos{\left(x^{2} \right)}}$$

                          / 2\                 2/ 2\       
       1               sec\x /          2*x*sec \x /*log(x)
- ----------- + --------------------- + -------------------
     ________               / 2   pi\          log(2)      
    /      2    x*log(2)*sec|x  - --|                      
  \/  1 - x                 \     2 /

$$\frac{2 x \log{\left(x \right)} \sec^{2}{\left(x^{2} \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\sec{\left(x^{2} \right)}}{x \log{\left(2 \right)} \sec{\left(x^{2} - \frac{\pi}{2} \right)}}$$

                                                2/ 2\    
       1             2*x*log(x)            2*sin \x /    
- ----------- + -------------------- + ------------------
     ________             2/ 2   pi\               /   2\
    /      2    log(2)*sin |x  + --|   x*log(2)*sin\2*x /
  \/  1 - x                \     2 /

$$\frac{2 x \log{\left(x \right)}}{\log{\left(2 \right)} \sin^{2}{\left(x^{2} + \frac{\pi}{2} \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{2 \sin^{2}{\left(x^{2} \right)}}{x \log{\left(2 \right)} \sin{\left(2 x^{2} \right)}}$$

                   / 2\        /       2/ 2\\       
       1        tan\x /    2*x*\1 + tan \x //*log(x)
- ----------- + -------- + -------------------------
     ________   x*log(2)             log(2)         
    /      2                                        
  \/  1 - x

$$\frac{2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}$$

                                             2       
                               /        / 2\\        
                               |       2|x ||        
                   / 2\    2*x*|1 + tan |--|| *log(x)
       1        tan\x /        \        \2 //        
- ----------- + -------- + --------------------------
     ________   x*log(2)                   2         
    /      2                 /        / 2\\          
  \/  1 - x                  |       2|x ||          
                             |1 - tan |--|| *log(2)  
                             \        \2 //

$$\frac{2 x \left(\tan^{2}{\left(\frac{x^{2}}{2} \right)} + 1\right)^{2} \log{\left(x \right)}}{\left(1 - \tan^{2}{\left(\frac{x^{2}}{2} \right)}\right)^{2} \log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}$$

                                       /       2/ 2   pi\\       
                                       |    cos |x  - --||       
                                       |        \     2 /|       
                     / 2   pi\     2*x*|1 + -------------|*log(x)
                  cos|x  - --|         |          2/ 2\  |       
       1             \     2 /         \       cos \x /  /       
- ----------- + ---------------- + ------------------------------
     ________        / 2\                      log(2)            
    /      2    x*cos\x /*log(2)                                 
  \/  1 - x

$$\frac{2 x \left(1 + \frac{\cos^{2}{\left(x^{2} - \frac{\pi}{2} \right)}}{\cos^{2}{\left(x^{2} \right)}}\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{\cos{\left(x^{2} - \frac{\pi}{2} \right)}}{x \log{\left(2 \right)} \cos{\left(x^{2} \right)}}$$

                                                     2       
                                       /        / 2\\        
                                       |       2|x ||        
                                   2*x*|1 + cot |--|| *log(x)
       1               1               \        \2 //        
- ----------- + ---------------- + --------------------------
     ________        / 2\                          2         
    /      2    x*cot\x /*log(2)    /         / 2\\          
  \/  1 - x                         |        2|x ||          
                                    |-1 + cot |--|| *log(2)  
                                    \         \2 //

$$\frac{2 x \left(\cot^{2}{\left(\frac{x^{2}}{2} \right)} + 1\right)^{2} \log{\left(x \right)}}{\left(\cot^{2}{\left(\frac{x^{2}}{2} \right)} - 1\right)^{2} \log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{1}{x \log{\left(2 \right)} \cot{\left(x^{2} \right)}}$$

                                       /       1    \       
                                   2*x*|1 + --------|*log(x)
                                       |       2/ 2\|       
       1               1               \    cot \x //       
- ----------- + ---------------- + -------------------------
     ________        / 2\                    log(2)         
    /      2    x*cot\x /*log(2)                            
  \/  1 - x

$$\frac{2 x \left(1 + \frac{1}{\cot^{2}{\left(x^{2} \right)}}\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{1}{\sqrt{1 - x^{2}}} + \frac{1}{x \log{\left(2 \right)} \cot{\left(x^{2} \right)}}$$

-1/sqrt(1 - x^2) + 1/(x*cot(x^2)*log(2)) + 2*x*(1 + cot(x^2)^(-2))*log(x)/log(2)

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Least common denominator tan(x^2)/(x*log(2))-x/(x*sqrt(1-x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)

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Least common denominator tan(x^2)/(xlog(2))-x/(xsqrt(1-x^2))+2x(1+tan(x^2)^2)*log(x)/log(2)