Definite Integration of Polynomials

Definite Integration of Polynomials

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

Example

Find the given integral. The integral, from -1 to 2, of (6x^2 - 2x + 5) dx.

Use the fundamental theorem of calculus (Part 2).

First, find the antiderivative of the integrand
(6x2 - 2x + 5),
which is 2x3 - x2 + 5x.

Indefinite integration of polynomials

Then find F(2) - F(-1)
by putting 2 and -1 into [2x3 - x2 + 5x].