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

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

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

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

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

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

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

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

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

int_(0)^(pi) dx/(3+2sin x + cos x) =

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

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