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

" (क) "int_(0)^( pi)(x sin x)/(1+cos^(2)x)dx" का मान ज्ञात कीजिए। "

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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) 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)/(1 +cos^2) dx .

" (a) "int_(0)^( pi/6)sqrt(1-sin2x)dx" का मान ज्ञात कीजिए "

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

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

" (8) "int(sin^(2)x-cos^(2)x)/(sin^(2)x cos^(2)x)dx" का मान ज्ञात कीजिए। "