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

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

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

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

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

Prove that : int_(0)^(pi//2)(x)/(sin x +cos x)dx= (pi)/(4sqrt(2)) log |(sqrt(2)+1)/(sqrt(2)-1)|

Prove that : int_(0)^(pi//2)(x)/(sin x +cos x)dx= (pi)/(4sqrt(2)) log |(sqrt(2)+1)/(sqrt(2)-1)|

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

Prove that : int_(0)^(a) f(x) dx = int_(0)^(a) f(a-x)dx hence evaluate : int_(0)^(pi//2) (sin x)/(sin x + cos x) dx

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