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Integral of sinxcosx/(sin⁴+cos⁴x) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src]
  1                     
  /                     
 |                      
 |    sin(x)*cos(x)     
 |  ----------------- dx
 |     4         4      
 |  sin (x) + cos (x)   
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{\sin^{4}{\left(x \right)} + \cos^{4}{\left(x \right)}}\, dx$$
Integral((sin(x)*cos(x))/(sin(x)^4 + cos(x)^4), (x, 0, 1))
Numerical answer [src]
0.589873134596437
0.589873134596437

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