int0^picos2x. log(sinx)dx...

`int_0^picos2x. log(sinx)dx`

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Evaluate the following integral: int_0^picos2xlogsinx\ dx

Evaluate the following integral: int_0^picos2xlogsinx\ dx

int_0^picos^2xdx

int_(0)^(pi//2)log(sinx)dx=

int_(0)^(pi) x log sinx dx

int_(0)^(pi) cos 2x . Log (sinx) dx

int_(0)^(pi) cos 2x . Log (sinx) dx

int_(0)^(pi) cos 2x . Log (sinx) dx

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

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