By using the properties of definite int...

By using the properties of definite integrals, evaluate the integrals`int_0^pilog(1+cosx)dx`

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Let `I=int_0^pilog(1+cosx)dx`........(1)
`=int_0^pilog(1+cos(pi-x))dx`
`=int_0^pilog(1-cosx)dx`..........(2)
Adding `(1)` and `(2)` we obtain
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