CALCULUS 2 HONORS: TEST 1 REVIEW SHEET

• Section 5.5 The Substitution Rule

-Many of the techniques we use for this test (and later tests as well) require use of this rule

-Examples p. 381 #32, 34, 36, 60, 67

• Section 5.6 Integration by Parts

-Choose u by LIATE!

-Examples p. 387 #3,7,10,17,23,26,45

• Section 5.7 Additional Techniques of Integration

-Trig Integrals Exercises1,2,4,5,25,27,29,39 from here

-Trig Substitution Exercises 1,2,3,23 from here

• Appendix G- Integration with Partial Fractions

-Look at the Appendix G worksheet, ex p. A54 # 5,7,9,11,16,21,23,25

• Section 5.8 Integrating using Tables

-I will provide the tables, but you will need to know how to use them

-Examples p. 399 # 1,3, 17, 19 19 AND Webassign problems #3, 4, 6

• Section 5.9 Approximate Integration

-Know both the Trapezoidal Rule and Simpson’s Rule

-Know how the Midpoint Rule, Trapezoidal Rule, and Simpson’s Rule compare in terms of accuracy

-Example p. 411 #15,28

• Section 5.10 Improper Integrals

-Be able to determine whether an improper interval is convergent or divergent

-Examples p. 421 #1,5,7, 25,29,35,43,49

Section 6.1 More About Areas

-Be able to graph the region enclosed by the given curves & find its area

-Examples p. 436 # 7,11,13,39,41,43

• Section 6.2 Volumes

-Be able to find volumes using washers or disks

-Examples p. 447 # 5,7,13,17,31 p. 488 #9

• Section 6.3 Volumes by Cylindrical Shells

-Examples p. 453 #1,9

• Section 6.4 Arc Length

-Examples p. 459 #7,9,13