# Definite Integration of Polynomials

How to solve definite integration of polynomials problems: example and its solution.

## Example

Use the fundamental theorem of calculus (Part 2).

First, find the antiderivative of the integrand

(6*x*^{2} - 2*x* + 5),

which is 2*x*^{3} - *x*^{2} + 5*x*.

Indefinite integration of polynomials

Then find *F*(2) - *F*(-1)

by putting 2 and -1 into [2*x*^{3} - *x*^{2} + 5*x*].