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" ate: "int(0)^( pi/2)(dx)/(1+sin x)...

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

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

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

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

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

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

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

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

int_(0)^(pi//2)(1)/(5+13 sin x) dx=

int_(0)^(pi//2)(1)/(13+5sin x)dx=