Definite integral of a linear factor in quadrants 4 and 1: Find
This will find the area under the curve shown on the graph between x = -1 and x = 2. We shall use the Fundamental Theorem of Calculus.

First we evaluate the indefinite integral, using the Scalar Multiple and Power rules for integrals:

Next, we evaluate this expression at each limit and subtract:

Test Problem: Find

a) I = 12

b) I = 20

c) I = 40

d) I = 45

e) I = 48