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Evaluate : int(0)^((pi)/(2))(sin x)/(1+c...

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

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If int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=In2, then the value of int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to:

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

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