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" on 12."int(0)^( pi)(x)/(1+sin x)dx...

" on 12."int_(0)^( pi)(x)/(1+sin x)dx

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

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

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

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

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

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

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

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

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