Mister Exam

Other calculators

  • How to use it?

  • Integral of d{x}:
  • Integral of ((1-x)/(1+x))^(1/2)
  • Integral of x*e^(5*x)*dx Integral of x*e^(5*x)*dx
  • Integral of (dx)/(sqrt(x^(2)+6x+10))
  • Integral of dx/((3*x^6)) Integral of dx/((3*x^6))

  • Identical expressions

  • x^ two *sin(x)/cos(x)*sqrt(x^ two)*sin(two x)*(2)*sin(x)++tg(x)/sqrt(tg(x))*
  • x squared multiply by sinus of (x) divide by co sinus of e of (x) multiply by square root of (x squared ) multiply by sinus of (2x) multiply by (2) multiply by sinus of (x) plus plus tg(x) divide by square root of (tg(x)) multiply by
  • x to the power of two multiply by sinus of (x) divide by co sinus of e of (x) multiply by square root of (x to the power of two) multiply by sinus of (two x) multiply by (2) multiply by sinus of (x) plus plus tg(x) divide by square root of (tg(x)) multiply by
  • x^2*sin(x)/cos(x)*√(x^2)*sin(2x)*(2)*sin(x)++tg(x)/√(tg(x))*
  • x2*sin(x)/cos(x)*sqrt(x2)*sin(2x)*(2)*sin(x)++tg(x)/sqrt(tg(x))*
  • x2*sinx/cosx*sqrtx2*sin2x*2*sinx++tgx/sqrttgx*
  • x²*sin(x)/cos(x)*sqrt(x²)*sin(2x)*(2)*sin(x)++tg(x)/sqrt(tg(x))*
  • x to the power of 2*sin(x)/cos(x)*sqrt(x to the power of 2)*sin(2x)*(2)*sin(x)++tg(x)/sqrt(tg(x))*
  • x^2sin(x)/cos(x)sqrt(x^2)sin(2x)(2)sin(x)++tg(x)/sqrt(tg(x))
  • x2sin(x)/cos(x)sqrt(x2)sin(2x)(2)sin(x)++tg(x)/sqrt(tg(x))
  • x2sinx/cosxsqrtx2sin2x2sinx++tgx/sqrttgx
  • x^2sinx/cosxsqrtx^2sin2x2sinx++tgx/sqrttgx
  • x^2*sin(x) divide by cos(x)*sqrt(x^2)*sin(2x)*(2)*sin(x)++tg(x) divide by sqrt(tg(x))*
  • x^2*sin(x)/cos(x)*sqrt(x^2)*sin(2x)*(2)*sin(x)++tg(x)/sqrt(tg(x))*dx

  • Similar expressions

  • x^2*sin(x)/cos(x)*sqrt(x^2)*sin(2x)*(2)*sin(x)+-tg(x)/sqrt(tg(x))*
  • x^2*sin(x)/cos(x)*sqrt(x^2)*sin(2x)*(2)*sin(x)-+tg(x)/sqrt(tg(x))*
  • x^2*sinx/cosx*sqrt(x^2)*sin(2x)*(2)*sinx++tg(x)/sqrt(tg(x))*
Solving integrals/ x^2*sin(x)/cos(x)*sqrt(x^2)*sin(2x)*(2)*sin(x)++tg(x)/sqrt(tg(x))*

Integral of x^2*sin(x)/cos(x)*sqrt(x^2)*sin(2x)*(2)*sin(x)++tg(x)/sqrt(tg(x))* dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  p                                                      
  -                                                      
  2                                                      
  /                                                      
 |                                                       
 |  / 2           ____                               \   
 |  |x *sin(x)   /  2                        tan(x)  |   
 |  |---------*\/  x  *sin(2*x)*2*sin(x) + ----------| dx
 |  |  cos(x)                                ________|   
 |  \                                      \/ tan(x) /   
 |                                                       
/                                                        
-p                                                       
---                                                      
 2
$$\int\limits_{- \frac{p}{2}}^{\frac{p}{2}} \left(2 \frac{x^{2} \sin{\left(x \right)}}{\cos{\left(x \right)}} \sqrt{x^{2}} \sin{\left(2 x \right)} \sin{\left(x \right)} + \frac{\tan{\left(x \right)}}{\sqrt{\tan{\left(x \right)}}}\right)\, dx$$ 
Integral((((((x^2*sin(x))/cos(x))*sqrt(x^2))*sin(2*x))*2)*sin(x) + tan(x)/sqrt(tan(x)), (x, -p/2, p/2))
The answer [src] 
  p                                                     
  -                                                     
  2                                                     
  /                                                     
 |                                                      
 |                              ____                    
 |    ________             2   /  2     2               
 |  \/ tan(x) *cos(x) + 2*x *\/  x  *sin (x)*sin(2*x)   
 |  ------------------------------------------------- dx
 |                        cos(x)                        
 |                                                      
/                                                       
-p                                                      
---                                                     
 2
$$\int\limits_{- \frac{p}{2}}^{\frac{p}{2}} \frac{2 x^{2} \sqrt{x^{2}} \sin^{2}{\left(x \right)} \sin{\left(2 x \right)} + \cos{\left(x \right)} \sqrt{\tan{\left(x \right)}}}{\cos{\left(x \right)}}\, dx$$ 
=
= 
  p                                                     
  -                                                     
  2                                                     
  /                                                     
 |                                                      
 |                              ____                    
 |    ________             2   /  2     2               
 |  \/ tan(x) *cos(x) + 2*x *\/  x  *sin (x)*sin(2*x)   
 |  ------------------------------------------------- dx
 |                        cos(x)                        
 |                                                      
/                                                       
-p                                                      
---                                                     
 2
$$\int\limits_{- \frac{p}{2}}^{\frac{p}{2}} \frac{2 x^{2} \sqrt{x^{2}} \sin^{2}{\left(x \right)} \sin{\left(2 x \right)} + \cos{\left(x \right)} \sqrt{\tan{\left(x \right)}}}{\cos{\left(x \right)}}\, dx$$ 
Integral((sqrt(tan(x))*cos(x) + 2*x^2*sqrt(x^2)*sin(x)^2*sin(2*x))/cos(x), (x, -p/2, p/2))

    Use the examples entering the upper and lower limits of integration.

    © Mister Exam – Calculator