1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

608 ANSWERS

5 1l'

u. s ·

13. 3.,,

8.

Section 8.3. Improper Integrals of Rational Functions: page 310

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Section 8.4. Improper Integrals Involving Trigonometric Functions:

page 315

l. Joo - oo cos :z:•xdx +9 - ~ " an d Joo - oo sin x•+9 xdx - (^0).

3. w· 7f

5. "(l 5 ~-:w. l)

7. 2er"cos! ·

9. ·1f z.-sit1 l


10. ----..--"cos2.

13. The inequality II. CR exp(iQ(z) z)P(z)dz I < - ~ " Jo t "^12 e-^2 R0/1r RdB < e in Jordan's

lemma would not be possible to get if we replaced exp (iz) by either the

complex sine or cosine. Explain why.

Section 8.5. Indented Contour Integrals: page 321

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