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सिद्ध कीजिए कि int(0)^(pi//2)log(sinx)...

सिद्ध कीजिए कि
`int_(0)^(pi//2)log(sinx)dx=int_(0)^(pi//2)log(cosx)dx=(-pi)/(2)log2`

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Prove that int_(0)^(pi//2)log (sinx)dx=int_(0)^(pi//2) log (cosx)dx=-(pi)/(2) log 2 .

Prove that: int_(0)^(pi//2) log (sin x) dx =int_(0)^(pi//2) log (cos x) dx =(-pi)/(2) log 2

int_(0)^(pi//2)log(tanx+cotx)dx=pi(log2)