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" 5."int(0)^( pi/4)(1+sin2x)/(cos x+sin ...

" 5."int_(0)^( pi/4)(1+sin2x)/(cos x+sin x)dx

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

int_(0)^(pi//4)[sqrt([1-sin2x)/(1+sin2x)]dx=

int_(0)^( pi/2)((sin x cos x) /(1+sin 4x ))dx

int_(0)^(pi//2)(sin x.cos x)/(1+sin^(4)x)dx=

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

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

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