# 009B Sample Midterm 1

**This is a sample, and is meant to represent the material usually covered in Math 9B for the midterm. An actual test may or may not be similar.**

**Click on the** ** boxed problem numbers to go to a solution.**

## Problem 1

Let .

(a) Compute the left-hand Riemann sum approximation of with boxes.

(b) Compute the right-hand Riemann sum approximation of with boxes.

(c) Express as a limit of right-hand Riemann sums (as in the definition of the definite integral). Do not evaluate the limit.

## Problem 2

Evaluate the indefinite and definite integrals.

(a)

(b)

## Problem 3

Evaluate the indefinite and definite integrals.

(a)

(b)

## Problem 4

Evaluate the indefinite and definite integrals.

(a)

(b)

## Problem 5

Let .

(a) Compute the left-hand Riemann sum approximation of with boxes.

(b) Compute the right-hand Riemann sum approximation of with boxes.

(c) Express as a limit of right-hand Riemann sums (as in the definition of the definite integral). Do not evaluate the limit.

**Contributions to this page were made by Kayla Murray**