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

- Evaluate the indefinite integral (10 parts)
- Integration by parts
- Integration by parts
- Partial fractions
- Rational exponents (radicals with different indices)
- Trigonometric substitution (the substitution is given to you)
- Complete the square (or it could be partial fractions)
- Hyperbolic trig function
- Hyperbolic trig function
- Hyperbolic trig function
- Power of sine or cosine (use a half angle identity)

- 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.*