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

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

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

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

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

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

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

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

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

If int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=In2, then the value of int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to:

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