### Home > APCALC > Chapter 10 > Lesson 10.2.2 > Problem10-122

10-122.

Write an integral expression that will calculate the volume of the solid created when the region formed by $y = e^x$, $y = e^{-x + 2}$, and $y = x^2 - 2x + 1$ is rotated about the line $x = 6$.

Using the Shell Method:
The radius is $6 - x$.
The height is obtained by subtracting two functions.
Use two integrals.