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Evaluate: int1/(x(x^6+1))dx...

Evaluate: `int1/(x(x^6+1))dx`

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`int1/(x(x^6+1))dx`
`=int(x^6-x^6+1)/(x(x^6+1))dx`
`=int(x^6+1)/(x(x^6+1))dx-int(x^6)/(x(x^6+1))dx`
`=int frac{dx}{x}-int frac{x^5}{x^6+1}dx`
`t=x^6+1=>dt=6x^5dx`
`=int (dx)/x-1/6 int (dt)/t`
`=log x-1/6 log abs(t)+C`
`=log x-1/6log abs(x^6+1)+C`
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