Math 122: Exam 4 Study Guide (7.6, 9)

1. Evaluate the indefinite integral (10 parts)
1. Integration by parts
2. Integration by parts
3. Partial fractions
4. Rational exponents (radicals with different indices)
5. Trigonometric substitution (the substitution is given to you)
6. Complete the square (or it could be partial fractions)
7. Hyperbolic trig function
8. Hyperbolic trig function
9. Hyperbolic trig function
10. Power of sine or cosine (use a half angle identity)
2. Find a system of linear equations to find the partial fraction decomposition of a given rational function. Do not solve for A, B, ..., just set up the system necessary to solve for them.

Notes

• NO CALCULATORS!
• Parts a - f (1-6) of #1 are worth 10 points each.
• Parts g - j (7-10) of #1 are worth 7 points each
• Problem #2 is worth 10 points.
• You should know the basic integrals on page 439.
• You should know the basic integrals on page 439. (Yes, I know I said it twice, but you really should).
• It may be helpful on one of the hyperbolic trig functions to break it into terms of sinh x and cosh x.