### Home > CALC > Chapter 12 > Lesson 12.2.1 > Problem12-69

12-69.

No calculator! The region under the curve $y = e^x$ for $x ≤\operatorname{ln} 2$ is revolved about the $x$-axis forming an infinite solid. Find the exact volume of the solid.

$\lim\limits_{a\to -\infty}\int_a^{\ln(2)}\pi (e^x)^2dx$