Exam 5: Integrals

Find the integral.

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

If is a child's rate of growth in pounds per year, which of the following expressions represents the increase in the child's weight (in pounds) between the years nd

Find the derivative of the function.

Find an expression for the area under the graph of as a limit.Do not evaluate the limit.

Find an expression for the area under the graph of as a limit.Do not evaluate the limit.

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

Find the general indefinite integral.

You are given function f defined on an interval the number n of subintervals of equal length , and the evaluation points in (a) Sketch the graph of and the rectangles associated with the Riemann sum for on and (b) find the Riemann sum. is the right endpoint

Find the integral.

Evaluate the integral.

by evaluating the integral using Part 2 of the Fundamental Theorem and then differentiating.

Evaluate the indefinite integral.Select the correct Answer

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.Select the correct Answer

Evaluate the indefinite integral.

Select the correct Answer: for each question. -Evaluate the integral by interpreting it in terms of areas.

Find the integral.

Evaluate the integral.

Express the sum as a single integral in the form

Evaluate the integral by making the given substitution.