Question

Find the function of `int(x^2+1)^3dx` ?

Answer 1

`int (x^2+1)^3 dx = 1/7x^7+3/5x^5+x^3+x+C`

Explanation:

It's probably most straightforward to multiply out the polynomial before integrating it:

`int (x^2+1)^3 dx = int x^6+3x^4+3x^2+1 dx`

`color(white)(int (x^2+1)^3 dx) = 1/7x^7+3/5x^5+x^3+x+C`