Exam 5: Integrals

Select the correct Answer: for each question. -An animal population is increasing at a rate of per year (where is measured in years).By how much does the animal population increase between the fourth and tenth years?

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

Find the indefinite integral.

Find the indefinite integral.

Select the correct Answer for each question. -Find the integral using an appropriate trigonometric substitution.

Estimate to the hundredth the area from 1 to 5 under the graph of using four approximating rectangles and right endpoints.

Use the Midpoint Rule with n = 10 to approximate the integral.Select the correct Answer

Find the limit.

The acceleration function of a body moving along a coordinate line is Find its velocity and position functions at any time if it is located at the origin and has an initial velocity of 4 m/sec.

Select the correct Answer for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola (the shaded region in the figure) is given by the integral Find the area..

The marginal cost of manufacturing x yards of a certain fabric is in dollars per yard.Find the increase in cost if the production level is raised from yards to yards.Select the correct Answer

Evaluate the integral.Select the correct Answer

Find the area of the region that lies beneath the given curve.Select the correct Answer

Evaluate by interpreting it in terms of areas.

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

Evaluate the integral.

The table gives the values of a function obtained from an experiment.Use the values to estimate using three equal subintervals with left endpoints.

Evaluate the integral.Select the correct Answer

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

Use the Midpoint Rule with to approximate the integral.Select the correct Answer Round yourAnswer to three decimal places.