Question

Evaluate the indefinite integral.

Answer 1

`(1)/(3) x^3 - x^2 + 4x`

Explanation:

All this takes is the use of the power rule, which, for integrals, says that

∫
`x^n` =
`(1)/(n+1)x^(n+1)`.

With this in mind, we can integrate:

∫
`x^2 - 2x + 4`

=
`(1)/(3) x^3 - x^2 + 4x`.

We can also check our answer by differentiating our answer:

`(d)/(dx) ((1)/(3)x^3 - x^2 + 4x)\\\\ = x^2 - 2x + 4`

so we are correct!

hope this helped!