### Home > CALC > Chapter 8 > Lesson 8.1.3 > Problem 8-29

8-29.

Find the roots of the ellipse. These will help you determine the bounds of integration.

Solve for *y*. This will be the integrand. Note: Because of symmetry across BOTH the *x*- and *y*-axes, you can find the area of half (or a fourth) of the ellipse, and then double (or quadruple) the result.

Use a calculator to evaluate the integral or graph the integrand and recognize its geometric shape.