Prove the following equalities using the residue theorem. Justify your steps.(a) √22πde2πT0a + sin ¤ Fa² - 1^Fa² = π a > 1;0(b)8x-aπSo z +1dx = sin(sa)୮1

Answered: Prove the following equalities using…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Prove the following equalities using the residue theorem. Justify your steps. (a) √2 2π de 2πT 0 a + sin ¤ Fa² - 1^ Fa² = π a > 1; 0 (b) 8 x-a π So z +1dx = sin(sa) ୮ 1