Evaluate the following integrals: `int_0^1((1-x)/(1+x))dx`

Explanation

consider, ` I=int_{0}^{1} (frac{1-{x}}{1+{x}}) {dx}`
`
=int_{0}^{1} frac{2-(1+{x})}{1+{x}} {dx}`
`
=int_{0}^{1}(frac{2}{1+{x}}-1) {dx}`
`
=[2 log ({x}+1)-{x}]_{0}^{1}`
`
Rightarrow I=(2 log 2-1)-(2 log 1-0)=2 log 2-1`
`