Review for Exam 1

Go over questions done in past textbooks problems, go over the trig stuff to try and memorize the integration and derivatives of those relative trig functions.


Section 7.5 (Review of Integration Techniques) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17, 19, 22, 23, 24, 26, 57, 67

Section 9.1 1, 2, 3, 4, 5
Section 9.3 1, 3, 5, 11, 12, 13, 14 
Section 9.5 1-11 odds, 15, 16


Review textbook problems from Chapter 7.1 - 7.8:
Section 7.1 1-9, 11, 12, 13, 15, 16, 17, 21, 22, 25, 27, 28
Section 7.2 1-13, 15, 16, 17, 21, 22, 23, 25, 27, 29, 37, 40, 41
Section 7.3 1, 2, 3, 4, 9-21 odds
Section 7.4 1, 2, 3, 4, 5, 6, 7-29 odds
Section 7.8 5, 7, 9, 11, 13, 17, 19, 27, 41, 42


NOTES FROM MARTINES'

U Substitution
7.1: Integration by parts (be sure to know formula, be ready for problems with lnx and inverse trig)
7.2: Integration using trig identities (be sure to know the 6 trig identities and representations for secx, cscx. cotx)
7.3: Trig Substitution (be sure to know the three cases, and you will have to go back to x, remember I like the answer as an algebraic expression when possible)
7.4: Partial Fractions 
7.8: Improper integrals (both types)

9.1: Find constant solution to a differential equation (similar to homework)

       Solve for constants in the solution that satisfy the differential equation (similar to homework)   

9.3: Solve separable differential equations (similar to homework and board problems, be sure to show to break it up dy/dx=f(x)/g(y))

9.5:  Solve DE using Integrating Factor (similar to homework and board problems, be sure to know what to multiply by, you must show how you "undo" the product rule)