8 Prove the following equalities using the residue theorem. Justify your steps. 2π de 2πT x-a πT (a) 0 a + sin 0 Ja² - 1 a> 1; (b) 0 dx = x+1 sin(a) 2π do O atsine 1) 2π √a²-1 1 ,971

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.CR: Chapter Review
Problem 67E: 67. Calculate the discriminant associated with the equation 6x2+5x+1=0.
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Prove the following equalities using the residue theorem. Justify your steps.
2π de
2πT
x-a
πT
(a)
0
a + sin 0 Ja² - 1
a> 1;
(b)
0
dx =
x+1 sin(a)
2π do
O
atsine
1)
2π
√a²-1
1
,971
Transcribed Image Text:8 Prove the following equalities using the residue theorem. Justify your steps. 2π de 2πT x-a πT (a) 0 a + sin 0 Ja² - 1 a> 1; (b) 0 dx = x+1 sin(a) 2π do O atsine 1) 2π √a²-1 1 ,971
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