Definite integral of a quadratic, quadrants 4 and 1:

This will determine the area on the graph below the curve and between x = -1 and x = 2.

We shall use the Fundamental Theorem of Calculus. First we find the indefinite integral by using the Sum, Scalar Multiple and Power rules for integrals:

Next we substitute limits and subtract:

Test Problem: Find

a)

b)

c)

d)