### Home > PC > Chapter 7 > Lesson 7.1.1 > Problem 7-12

7-12.

Substitute (*x* − 2) for every *x* in *a*(*x*). Then add 5.

The Integral is moved 2 to the right. But *b*(*x*) is also moved 2 to the right of *a*(*x*). So that is a wash. But *b*(*x*) is moved up 5. So it has more area by its width × 5. In this case, the width is 5. So if *W* is the area under the '*a*' curve, then *W* + 25 is the area under the '*b*' curve.