# Integrate with Calculator

## Homework Statement

Use the integration capabilities of a graphing utility to approximate the approximate the
volume of the solid formed by revolving the region bounded by the graphs of y = sin x and y 0 in the interval [0, $$\pi$$] about the y-axis. Round your answer to three decimal places.

Yikes! Help!

## The Attempt at a Solution

Can anyone help me set this up on a TI-83?

First thing you need to do is setup the integral.

$$\pi \int_{0}^{\pi}{sin^2 x} dx$$

The integral gives you the area under the curve. So all you have to do is graph

$${\pi}sin^2 x$$

Then on the graph screen go to the list with intersection/zero options and you should see an integral symbol. Select that then enter the limits 0 then pi

Ok, probably a silly question now, but how did you get from sinx to sin^2x?

Because it's pi*r^2