Exam 7: Techniques of Integration

The region is represented below.Find the area of this region to two decimal places.

Evaluate the integral.

Use the Midpoint Rule to approximate the given integral with the specified value of n.Compare your result to the actual value.Find the error in the approximation.

The region is represented below.Find the area of this region to two decimal places.Select the correct Answer

Find the integral.

Find the integral.

A manufacturer of light bulbs wants to produce bulbs that last about hours but, of course, some bulbs burn out faster than others.Let be the fraction of the company's bulbs that burn out before t hours. lies between 0 and 1.

Find the integral.

Find the integral.

Find the integral.

Select the correct Answer for each question. -Use a table of integrals to evaluate the integral.

Evaluate the integral.

Find the integral using an appropriate trigonometric substitution.Select the correct Answer

Evaluate the integral.

Find the integral.Select the correct Answer

Evaluate the integral or show that it is divergent.

Evaluate the integral using an appropriate trigonometric substitution.

Select the correct Answer for each question. -Evaluate the integral.

Select the correct Answer for each question. -A particle moves on a straight line with velocity function Find its position function

Evaluate the integral.Select the correct Answer