Mister Exam

Lang:

How to use it?
Least common denominator:
x^2*log(x)/2-x^2/4
sqrt(4/x+1)*x+2*log(sqrt(4/x+1)+1)-2*log(sqrt(4/x+1)-1)
atan(tan(f)*sqrt(a^2-1)/a)/sqrt(a^2-1)
(a/5+a/2)*a^2/6
Factor polynomial:
x^6-y^6
x^3+x-2
x^4+x^2+1
x^3+x^2+x+1
Factor squared:
-y^4+y^2-4
x^2+3*y*x+2*y^2
y^4-y^2-2
-y^4+y^2-3
How do you in partial fractions?:
((3*c+1)/(c-1)+c)/(c+1)
z/(z+9)^2-z/(z^2-81)
((z^2-z)/(z^2-9))^-1/(z^2-3*z)/(z-1)
((z)-((7*z)/(z+3)))*((z+3)/(z-4))
Identical expressions
x^ two *log(x)/ two -x^ two / four
x squared multiply by logarithm of (x) divide by 2 minus x squared divide by 4
x to the power of two multiply by logarithm of (x) divide by two minus x to the power of two divide by four
x2*log(x)/2-x2/4
x2*logx/2-x2/4
x²*log(x)/2-x²/4
x to the power of 2*log(x)/2-x to the power of 2/4
x^2log(x)/2-x^2/4
x2log(x)/2-x2/4
x2logx/2-x2/4
x^2logx/2-x^2/4
x^2*log(x) divide by 2-x^2 divide by 4
Similar expressions
x^2*log(x)/2+x^2/4

Least common denominator x^2*log(x)/2-x^2/4

You have entered [src]

 2           2
x *log(x)   x 
--------- - --
    2       4

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

(x^2*log(x))/2 - x^2/4

General simplification [src]

 2                
x *(-1 + 2*log(x))
------------------
        4

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

x^2*(-1 + 2*log(x))/4

Numerical answer [src]

-0.25*x^2 + 0.5*x^2*log(x)

-0.25*x^2 + 0.5*x^2*log(x)

Combinatorics [src]

 2                
x *(-1 + 2*log(x))
------------------
        4

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

x^2*(-1 + 2*log(x))/4

Rational denominator [src]

     2      2       
- 2*x  + 4*x *log(x)
--------------------
         8

$$\frac{4 x^{2} \log{\left(x \right)} - 2 x^{2}}{8}$$

(-2*x^2 + 4*x^2*log(x))/8

Common denominator [src]

   2    2       
  x    x *log(x)
- -- + ---------
  4        2

$$\frac{x^{2} \log{\left(x \right)}}{2} - \frac{x^{2}}{4}$$

-x^2/4 + x^2*log(x)/2

Trigonometric part [src]

   2    2       
  x    x *log(x)
- -- + ---------
  4        2

$$\frac{x^{2} \log{\left(x \right)}}{2} - \frac{x^{2}}{4}$$

-x^2/4 + x^2*log(x)/2

Powers [src]

   2    2       
  x    x *log(x)
- -- + ---------
  4        2

$$\frac{x^{2} \log{\left(x \right)}}{2} - \frac{x^{2}}{4}$$

-x^2/4 + x^2*log(x)/2

Combining rational expressions [src]

 2                
x *(-1 + 2*log(x))
------------------
        4

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

x^2*(-1 + 2*log(x))/4

Assemble expression [src]

   2    2       
  x    x *log(x)
- -- + ---------
  4        2

$$\frac{x^{2} \log{\left(x \right)}}{2} - \frac{x^{2}}{4}$$

-x^2/4 + x^2*log(x)/2