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

7-12.

Let ,

*and let*

Recall

*on*

Write

explicitly.Substitute

for every in*a*(*x*). Then add. Sketch the areas

and . Find

in terms of .The Integral is moved

to the right. But is also movedto the right of . So that is a wash. Butis moved up. So it has more area by its . In this case, the width is . So if is the area under the '' curve, thenis the area under the '' curve.