# Please solve this............. the correct answer is pi/8. Question is attatched.

2081 Points
3 years ago
this ques is an application of the property that integral of f(x) from a to b is equal to integral of f(a+b – x) from a to b.
so let I= int 0_pi/2 s^3*c/(s^4+c^4) dx where s= sinx and c=cosx
now I= int 0_pi/2 c^3*s/(c^4+s^4) dx where we have replaced x by 0+pi/2 – x