Evaluate each of the following integral: `int_0^1(2x)/(1+x^2dx)`

Explanation

`\int_{0}^{1} \frac{2 x}{1+x^{2}} d x`


let `u=1+x^2 `


`du=2xdx`


`\int_{1}^{2} \frac{du}{u}`


`=\log 2-\log 1`
`=\log 2 .`