# Find: Use trigonometric substitution to compute the following integral. \int...

## Question:

Use trigonometric substitution to compute the following integral.

{eq}\displaystyle \int \frac{x^2}{\sqrt{9-x^2}} {/eq}

## Trigonometric Substitution:

For integrals containing square root of quadratic expressions, applying trigonometric substitution is often the most convenient technique in evaluating. In applying this methods, some trigonometric identities may also be needed in simplification steps.