17. Use the theory of residue to evaluate the following definite integrals r2 (a) /" (b) / do 2+ cos 0 ' cos 30d0 5 – 4 cos 0' - cos 20d0 1 — 2а сos @ + a2 (-1 < a < 1), (c) where (4) / sin?" Odo where n = 1,2, ....

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Topic Video
Question

Please solve 17(b) and 17(c) 

17. Use the theory of residue to evaluate the following definite integrals
2
de
(a)
2+ cos 0
27
cos 30d0
5 – 4 cos 0
(b)
cos 20d0
(c)
where (-1< a < 1),
1 — 2а сos 6 + а2
2n
(d)
sin
Odo
where
n = 1, 2, ...
Ans. (a) 27//3, (b) n/12, (c) ra²/ (1 – a²), (d) a (2n)!/ (2²" (n!)²) .
Transcribed Image Text:17. Use the theory of residue to evaluate the following definite integrals 2 de (a) 2+ cos 0 27 cos 30d0 5 – 4 cos 0 (b) cos 20d0 (c) where (-1< a < 1), 1 — 2а сos 6 + а2 2n (d) sin Odo where n = 1, 2, ... Ans. (a) 27//3, (b) n/12, (c) ra²/ (1 – a²), (d) a (2n)!/ (2²" (n!)²) .
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning