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int(0)^(1.(pi)/(2))(cos2x)/(cos x+sin x)...

int_(0)^(1.(pi)/(2))(cos2x)/(cos x+sin x)dx=

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

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

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