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int0^(pi/4) ln(1+tantheta) d theta...

`int_0^(pi/4) ln(1+tantheta) d theta`

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STATEMENT 1: int_0^(pi/4)log(1+t a ntheta)d theta=pi/8log2. STATEMENT 2: int_0^(pi/2)logsin theta d theta =-pilog2.

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