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int(0)^( pi)(x sin x)/(1+3cos^(2)x)dx...

int_(0)^( pi)(x sin x)/(1+3cos^(2)x)dx

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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)(x sin^(3)x)/(1+cos^(2)x)dx

Evaluate (iii) int_(0)^(pi)(x sin^(3)x)/(1+cos^(2)x)dx

int_(0)^(pi//6) (sin x) /(cos^(3)x) dx is

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

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

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

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