int_(0)^( pi)x*sin^(2)x

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

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

If I=int_(0)^( pi)x(sin^(2)(sin x)+cos^(2)(cos x))dx , then [l]= (where) [.] denotes the greatest integer function

The value of int_(0)^(pi)(|x|sin^(2)x)/(1+2|cosx|sinx)dx is equal to

The value of int_(0)^(pi)(|x|sin^(2)x)/(1+2+cosx|sinx)dx is equal to

The value of int_(0)^(pi)(|x|sin^(2)x)/(1+2|cosx|sinx)dx is equal to

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

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

If int_(0)^(pi//2)sin^(4)x cos^(2)x dx=(pi)/(32) , then int_(0)^(pi//2)sin^(2)x cos^(4)x dx=

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