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9.int(0)^(n)(r sin x)/(1+cos^(2)x)dx=(pi...

9.int_(0)^(n)(r sin x)/(1+cos^(2)x)dx=(pi^(2))/(4)

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Prove that : int_(0)^(pi) (x sin x)/(1+cos^(2)x) dx =(pi^(2))/(4)

Prove that : int_(0)^(pi) (x sin x)/(1+cos^(2)x) dx =(pi^(2))/(4)

int_(0)^( pi)(sin x)/(1+cos^(2)x)dx =

int_(0)^( pi/2)(sin x)/(1+cos x)dx

int_(0)^(pi//2) (sin x)/(1 +cos^2) dx .

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

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

int_(0)^(pi//2)(sin x.cos x)/(1+sin^(4)x)dx=