Homework 10

Read Sections 6.2, 6.3, and 6.4 of Saff and Snider,
and the summary at the end of Chapter 6.

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.