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

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

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

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

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

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

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

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

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

int_(0)^(pi)(x sin x)/(1-sin x)dx=

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