Math 136: Complex Variables and Integral Transforms
## Homework 10
Read Sections 6.2, 6.3, and 6.4 of Saff and Snider,
Do these problems from Saff and Snider: - Sec. 6.2, Trigonometric Integrals: 1, 8, 9. (Explain
the steps you use.)
**Hint for Q8:**The denominator is not monic!
**Hint for Q9:**Binomial theorem. (Think about 10.) You need only turn in two of these three questions. If you prefer to attempt all three, we will count your best two. - Sec. 6.3, Improper Integrals of Certain Functions:
7, 8, 9, 10.
**Hint for Q7:**When you start computing the residues, let Q(z) = (z-z_2)(z-z_3)(z-z_4), and only plug in the specific values of Q(z_1), Q'(z_1), etc near the end. (Think about 15b.) You need only turn in three of these four questions. If you prefer to attempt all four, we will count your best three.
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