CPM Homework Help : APCALC Problem 12-94

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

Increasing exponential curve labeled, y = e, raised to the x power, with asymptote at the x axis, stopping at the point, (ln of 2, comma 2), with a vertical line from curve ending point to the x axis.

Compute without a calculator

Step:

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