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I=int(0)^( pi)x sin^(4)xdx...

I=int_(0)^( pi)x sin^(4)xdx

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int_(0)^( pi)x sin^(3)xdx

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If I_(1) = int_(0)^(pi) (x sin x)/(1+cos^2x) dx , I_(2) = int_(0)^(pi) x sin^(4)xdx then, I_(1) : I_(2) is equal to

If I_(1) = int_(0)^(pi) (x sin x)/(1+cos^2x) dx , I_(2) = int_(0)^(pi) x sin^(4)xdx then, I_(1) : I_(2) is equal to

int_(0)^( pi/4)sin^(4)xdx

"int_(0)^( pi)x sin^(2)xdx

Evaluate : int_(0)^( pi/4)x sin^(2)xdx

Prove that, int_(0)^(6pi)sin^(4)xdx=6int_(0)^(pi)sin^(4)xdx

If I = int_(0)^(2pi)sin^(2)xdx , then

int_(-pi)^( pi)x sin^(2)xdx=