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int(0)^(2 pi)sin^(-1)((2x)/(1+x^(2)))dx...

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

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If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

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