Exam 7: Principle of Integral Evaluation

Evaluate .

Evaluate .

Evaluate . Use a CAS or calculator with integration capability. It may be necessary to make a substitution that converts the integral into one that can be integrated.

Evaluate . Use a CAS or calculator with integration capability. It may be necessary to make a substitution that converts the integral into one that can be integrated.

Answer true or false. diverges.

Use the Endpaper Integral Table to evaluate the integral.

Evaluate .

Use Endpaper Tables to evaluate .

Use Simpson's Rule with n = 10 to approximate the integral.

Use Endpaper Tables to evaluate .

Evaluate .

Use n = 10 to approximate the integral by the midpoint rule.

Answer true or false. is an improper integral.

Evaluate .

Evaluate .

Evaluate .

Use integration by parts to evaluate .

Evaluate . Use a CAS or calculator with integration capability. It may be necessary to make a substitution that converts the integral into one that can be integrated.

Evaluate .

Evaluate .