Math 121 Worksheet for Chapter 7.4: Partial Fractions Name:___________________________
1. (a) Find a partial-fraction decomposition for (13x+60)/(x2+13x+30) (this rational function is the Laplace
transform of a particular hypoexponential distribution; it's a probability thing)
(b) So, what is the integral of (13x+60)/(x2+13x+30) ?
2. Start a decomposition on 7/[(x+2)(x+3)(x+5)]; set up a system of 3 equations in 3 unknowns, but
do not solve it.
3. What happens if you try decomposition on (x2+26x+90)/(x2+13x+30) ?
4. What happens if you try decomposition on 5/(x2+2x+9) ?
5. What happens if you try decomposition on 7/[(x+2)(x+3)(x+3)] ?
