malalawak44

2022-07-07

Find the antiderivative of the following problem
Find the antiderivative of $\pi \left(\frac{4}{{y}^{2}}\right)$.
This has to do with a volume problem. And I'm using the disk method to solve. So the pi needs to incorporated.

Camron Herrera

Expert

Explanation:
$\int \frac{4\pi }{{y}^{2}}dy=4\pi \int {y}^{-2}dy=4\pi \frac{{y}^{-1}}{-1}=-\frac{4\pi }{y}+c$
Here c is the constant of integration as the integral is indefinite.

Do you have a similar question?