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|int(0)^( pi/2)(cos x-sin x)e^(x)dx|=...

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

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

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

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

int_(0)^(pi//2) ( cos x - sin x )/( 2 + sin x cos x ) dx is equal to

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

The value of int_(0)^(2 pi)|cos x-sin x|dx is

int_(0)^( pi)cos2x*log(sin x)dx

Prove that: int_(0)^( pi/2)(sin x)/(sin x-cos x)dx=(pi)/(4)

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