" 13."quad int(0)^( pi/2)e^(x)(sin x-cos...

" 13."quad int_(0)^( pi/2)e^(x)(sin x-cos x)dx

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

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

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

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

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

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

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

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

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

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

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