## MAT126 Review for Midterm I

5.1 Be able to estimate the area under a graph when the units
on the `x` and `y`-axes are given (*Example 3b, Exercises
2,3*). Be able to estimate distance traveled from velocity
information given as a graph (*Exercise 11*) or as a table
(*Example 4, Exercises 9,10*).
5.2 Understand the relation between integral and area when the
function is not always positive (*Example 2 -you do not need to
know the summation formulas *`5` and `6` on p.364 but you
should know they exist; you should know formula `4`!-
and Example 4b, Exercises 3,4,21,23). Understand
the Midpoint rule (*Example 5, Exercises 4,7*). Understand
graphically the difference between a Riemann sum and the integral
(*Exercise 18*).

5.3 Understand how to use the Evaluation Theorem to calculate
integrals using anti-derivatives (*Examples 1 and 2, Exercises 8,9*).
Know the indefinite integrals in Table `1` p.375, and know why
we write "`+ C`". Be able to use this information to calculate
indefinite integrals of sums and constant-multiples of these
functions (*Examples 3,4,5, Exercises 7-30*). Understand the
Total Change Theorem and how to apply it (*Examples 7 and 8, Exercises
55,57,58*).

Use the Chapter Review for further reviewing.

- Concept Check 1 through 6.
- True-False 1 through 6.
- Exercises 1 through 8 (skip 6).

February 16 2000