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" 24."int(0)^( pi/4)(sin x cos x)/(cos^(...

" 24."int_(0)^( pi/4)(sin x cos x)/(cos^(4)x+sin^(4)x)dx

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int_(0)^( pi/4)(sin x-cos x)dx

Evaluate the definite integrals int_(0)^((pi)/(4))(sin x cos x)/(cos^(4)x+sin^(2)x)dx

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

Prove that : int_(0)^(pi//2) (x sin x cos x)/(sin^(4) x+ cos^(4)x)dx =(pi)/(16)

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

int_(0)^(pi//2) (16sin x. cos x)/(sin^(4) x + cos^(4)x)dx=