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" Evaluate: "int(0)^((pi)/(4))log(1+tan ...

" Evaluate: "int_(0)^((pi)/(4))log(1+tan theta)d theta

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STATEMENT 1: int_(0)^((pi)/(4))log(1+tan theta)d theta=(pi)/(8)log2 STATEMENT 2:int_(0)^((pi)/(2))log sin theta d theta=-pi log2