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दिखाइए कि int(0)^(pi//4) log(1+tan theta...

दिखाइए कि `int_(0)^(pi//4) log(1+tan theta)d theta=(pi)/(8) log2`

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int_(0)^(10)log(1+cot theta)d theta=(pi)/(8)log2

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

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

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

int_(0)^(pi//8) cos^(3)4 theta d theta=

int_(0)^(pi//8) cos^(3)4 theta d theta=

int_(0)^((pi)/(4))log(sin2 theta)d theta=-((pi)/(4))log((1)/(2))

int_ (0) ^ ((pi) / (4)) log (1 + tan theta) dth eta

Evalute: int_(0)^((pi)/(4)) log(1+tantheta)d theta .

int_ (0) ^ ((pi) / (4)) ln (1 + tan theta) d theta