Exam 7: Techniques of Integration

Evaluate the integral.

Evaluate the integral.

Estimate the area of the shaded region by using the Trapezoidal Rule with Round theAnswer to the nearest tenth.

Use a table of integrals to evaluate the integral.Select the correct Answer

Select the correct Answer for each question. -Use Simpson's Rule to approximate the integral withAnswers rounded to four decimal places.

Eight milligrams of a dye are injected into a vein leading the an individual's heart.The concentration of dye in the aorta (in milligrams per liter) measured at 2-sec intervals is shown in the accompanying table.Use Simpson's Rule with and the formula to estimate the person's cardiac output, where is the quantity of dye injected in milligrams, is the concentration of the dye in the aorta, and is measured in liters per minute.Round to one decimal place.

Select the correct Answer for each question. -Evaluate the integral or show that it is divergent.

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

Use the Trapezoidal Rule to approximate for Round the result to four decimal places.

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

Make a substitution to express the integrand as a rational function and then evaluate the integral. Round theAnswer to four decimal places.

Evaluate the integral or show that it is divergent.

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

Find the integral.Select the correct Answer

Evaluate the integral.

Find the average value of the function in the interval

Evaluate the indefinite integral.

Find a bound on the error in approximating the integral using (a) the Trapezoidal Rule and (b) Simpson's Rule with subintervals.

Find the integral.

Use a table of integrals to evaluate the integral.