Exam 5: Extension B: Integrals

Given that ,find

Evaluate by interpreting it in terms of areas.

Evaluate by interpreting it in terms of areas.

Use the Midpoint Rule with n = 5 to approximate the integral. Round your answer to three decimal places.

Evaluate by interpreting it in terms of areas.

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

Evaluate the Riemann sum for with four subintervals,taking the sample points to be right endpoints.

A table of values of an increasing function is shown.Use the table to find an upper estimate of

If and ,find

Express the integral as a limit of sums.Then evaluate the limit.