Various exercises relating to substitution and the use of integral tables.

Compute the indefinite integrals below. Since there are many possible answers (which differ by constant values), use the given instructions if needed to choose which possible answer to use.
(Add a constant to your answer if needed so that it equals at .)
(Add a constant to your answer if needed so that it equals at .)
(Add a constant to your answer if needed so that it equals at .)
Remember absolute value in your logarithm. (Add a constant to your answer if needed so that it equals at .)
(Add a constant to your answer if needed so that it equals at .)
Use absolute values as needed in logarithms. (Add a constant to your answer if needed so that it equals at .)
(Add a constant to your answer if needed so that it equals at .)
Make a substitution .
Evaluate the definite integral

Value =

Sample Exam Questions

Evaluate the integral using the fact that . (Hints will not be displayed until you have chosen a response.)