Mister Exam

Other calculators

  • How to use it?

  • Integral of d{x}:
  • Integral of -2/x Integral of -2/x
  • Integral of 0 Integral of 0
  • Integral of 5 Integral of 5
  • Integral of cos Integral of cos

  • Identical expressions

  • (sinx^ two -cosx^ two)/((sinx^ four +cosx^ four))
  • ( sinus of x squared minus co sinus of e of x squared ) divide by (( sinus of x to the power of 4 plus co sinus of e of x to the power of 4))
  • ( sinus of x to the power of two minus co sinus of e of x to the power of two) divide by (( sinus of x to the power of four plus co sinus of e of x to the power of four))
  • (sinx2-cosx2)/((sinx4+cosx4))
  • sinx2-cosx2/sinx4+cosx4
  • (sinx²-cosx²)/((sinx⁴+cosx⁴))
  • (sinx to the power of 2-cosx to the power of 2)/((sinx to the power of 4+cosx to the power of 4))
  • sinx^2-cosx^2/sinx^4+cosx^4
  • (sinx^2-cosx^2) divide by ((sinx^4+cosx^4))
  • (sinx^2-cosx^2)/((sinx^4+cosx^4))dx

  • Similar expressions

  • (sinx^2-cosx^2)/((sinx^4-cosx^4))
  • (sinx^2+cosx^2)/((sinx^4+cosx^4))
Solving integrals/ (sinx^2-cosx^2)/((sinx^4+cosx^4))

Integral of (sinx^2-cosx^2)/((sinx^4+cosx^4)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                     
  /                     
 |                      
 |     2         2      
 |  sin (x) - cos (x)   
 |  ----------------- dx
 |     4         4      
 |  sin (x) + cos (x)   
 |                      
/                       
0
$$\int\limits_{0}^{1} \frac{\sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}}{\sin^{4}{\left(x \right)} + \cos^{4}{\left(x \right)}}\, dx$$ 
Integral((sin(x)^2 - cos(x)^2)/(sin(x)^4 + cos(x)^4), (x, 0, 1))
Numerical answer [src] 
-0.539678861613844
-0.539678861613844

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

    © Mister Exam – Calculator