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" (v) "int(0)^( pi/2)(sin x)/(1+cos^(2)x...

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

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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)

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) x sin x cos^(2)x\ dx

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

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

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