Home
Class 12
MATHS
Prove that int0^(pi/2) (x sin x cos x dx...

Prove that `int_0^(pi/2) (x sin x cos x dx)/(cos^4 x+sin^4 x)=pi^2/16`

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that int_(0)^((pi)/(2))(x sin x cos xdx)/(cos^(4)x+sin^(4)x)=(pi^(2))/(16)

int_(0)^((pi)/(2))(x sin x cos x)/(cos^(4)x+sin^(4)x)dx=

Prove that : int_(0)^(pi//2) (x sin x cos x)/(sin^(4) x+ cos^(4)x)dx =(pi)/(16)

Prove that int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x)dx = 0 .

Show that, int_0^(pi/2)(sin 2x dx)/(sin^4x + cos^4 x) = pi/2