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

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

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

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

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

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

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

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

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

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

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