Question

Find the most general antiderivative of each of the following function (F(x)=2+x^2/1+x^2

Answer 1

`x+\arctan x+C`

Explanation:

`\int(2+x^2)/(1+x^2)dx=\int(1+1+x^2)/(1+x^2)dx=\int\left(1+(1)/(1+x^2)\right)dx=x+\arctan{x}+C`