Integrals and Methods of Integration Test

1. Evaluate the integral using area formulas

1. Evaluate the integral using area formulas

2. Show that

2. Show that

3. Use a suitable change of variables to determine the indefinite integral.

3. Use a suitable change of variables to determine the indefinite integral.

4. Evaluate each of the following integrals by substitution.

4. Evaluate each of the following integrals by  substitution.

5. Use the method of partial fractions to evaluate each of the following integrals.

5. Use the method of partial fractions to evaluate each of the following integrals.

6. Find the volume of the solid generated when the region bounded by the function below. Over the x axis.

6. Find the volume of the solid generated when the region bounded by the function below. Over the x axis.

7. Use integration by parts,

7. Use integration by parts,

8-10. State whether you would use integration by parts to evaluate the integral. If not, describe the technique used to perform the integration without actually doing the problem.

8-10. State whether you would use integration by parts to evaluate the integral. If not, describe the technique used to perform the integration without actually doing the problem.
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