## Math 121 - Chapter 7 Study Guide

- Evaluate the integral. Four parts. Look at problems 7.2.13-30*
- Evaluate the integrals by making appropriate substitutions. Three parts. Look at problems
7.3.5-36*
- Write the expression in sigma notation, but do not evaluate. Two parts. Look at problems
7.4.3-12*
- Express the sum in closed form. Two parts. Look at problems 7.4.23-28*
- Identify the true identities. Sixteen parts. Look at problems 7.4.49-50, but also any properties
of summation and integration throughout the chapter.
- Sketch the region whose signed area is represented by the definite integral, and evaluate the
integral using an appropriate formula from geometry, where needed. Look at problems
7.5.17-20*
- Evaluate the integrals using the first fundamental theorem of calculus. Three parts. Look at
problems 7.6.9-24*
- Use the second fundamental theorem of calculus to find the derivative. Look at problems
7.6.45-50*
- A particle moves along an s-axis. Use the given information to find the position function of
the particle. Look at problems 7.7.7-10*
- A particle moves with the given acceleration and initial velocity. Find the displacement and
distance traveled by the particle during the time period. Look at problems 7.7.15-18*
- Find the average value of the function over the given interval. Find all values guaranteed by
the mean value theorem for integrals and then draw a figure that illustrates the mean value
theorem for integrals. Look at problems 7.7.49-54
- Evaluate the definite integrals using substitution. Two parts. Look at problems 7.8.23-38*

### Notes:

- *'d problems are directly from the textbook.

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
Total |

Pts |
16 |
12 |
8 |
8 |
8 |
6 |
12 |
4 |
6 |
6 |
6 |
8 |
100 |