Optional M215 Project – Practice with Areas

Section 6.1 - 15 points

Due:

For each of the following problems, first sketch the relevant area, then write out the definite integral that will give its exact value, and evaluate the integral, unless indicated to set up ONLY.

1. The area bounded by Evaluate the integral.

2. The area bounded by

Set Up ONLY – do not evaluate the integral.

3. The area in the first quadrant between

Set Up ONLY – do not evaluate the integral

4. The area in the first quadrant bounded by the curves

Set Up ONLY – do not evaluate the integral

5. The area bounded by the curves

Evaluate the integral.