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What is int(0)^(pi//2) (sin^(3)x)/(sin^(...

What is `int_(0)^(pi//2) (sin^(3)x)/(sin^(3)x + cos^(3)x) dx` ?

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Prove that : int_(0)^(pi//2) (sin^(3)x)/(sin^(3) x+ cos^(3)x)dx =(pi)/(4)

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

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

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

int_0^(pi/2) sin^(3/2)x/(sin^(3/2)x+cos^(3/2)x)dx

What is int_0^(pi//2) (sin^3 x)/(sin^3x+cos^3x) dx

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

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

The value of int_(0)^(pi//2) (sin^(3)x cos x)/(sin^(4)x+ cos^(4)x )dx is