### MATH 9B  --  Midterm #1 Review Topics

Section Page number
(10th edition)
Topic
4.1 314 Definition: antiderivative of a function
315 Table 4.1 -- integral formulas
320 Exercises 27-30,
Exercises 31-32
4.2 324 Example 3 -- integrating sin2(x) and cos2(x)
326 Substitution: the chain rule backwards
Examples 6-9
328 any of the exercises 1-32
329 Exercises 45-46
4.4 341 Example 1 -- using sigma notation
345 Definition: area under a curve as a definite integral
346 Definition: average (mean) value
347 Table 4.5 -- rules for definite integrals
348 Example 5 -- using the rules for definite integrals
349 Exercises 11-16
350 any of the exercises 27-32
4.5 354 Fundamental Theorem of Calculus, Part 1
Examples 3-6
358 Fundamental Theorem of Calculus, Part 2
361 Exercises 15-18,
Exercises 19-24,
Exercises 25-28
363 Exercises 45-46
4.6 365 Substitution formula for definite integrals
Examples 1-3
368 Definition: area between curves
Examples 4-5
371 any of the exercises 1-16
5.1 394 Definition: volume of a solid
396 Solids of revolution: circular (disk) cross sections
Examples 4-7
399 Solids of revolution: washer cross sections
Examples 8-9
401 Exercises 1-6,
any of the exercises 13-22,
any of the exercises 31-44
5.2 409 Shell formula for revolution about a vertical line
Examples 2-3
411 any of the exercises 1-6,
any of the exercises 7-10,
any of the exercises 15-18,
Exercises 35, 36