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" 25.) "int(0)^( pi)(x sin x)/((1+sin x)...

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

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

int_0^pi (x sin x)/(1+sin x) dx=pi/2 (pi-2)

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

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

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

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

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

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

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

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