Integrating t(cost?)e-t“dt using integration by parts with the appropriate choice of u and dv Which of the following options is true? 1 A St(cost?)e-dt = (sint?) e-t Stcost³)e-tat + t(c cost) e* - St(sint?)etat 1 B t(cost?)e-t"at = -(cost?) e-? 2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.8: Applications Of Vector Spaces
Problem 39E
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Integrating t(cost?)e-t"dt using integration by parts with the appropriate choice of u and dv.
Which of the following options is true?
@ Sricost?)e-dt = (sint?)
1
-(sint²) e-t2
St(cost?)e-t°at
+
O St(cost?)e-"dt = -(cost?) e - St(sint?)e-Pdt
1
(в
Selcost³)e-*at
© S(cost?)e-dt = -2(cost?) e- - St(sint?)e-dt
© S(cost³)e-t*at = 2(sint?) e-t
Secost³)e-"at
t(cost?)e-tdt
Transcribed Image Text:Integrating t(cost?)e-t"dt using integration by parts with the appropriate choice of u and dv. Which of the following options is true? @ Sricost?)e-dt = (sint?) 1 -(sint²) e-t2 St(cost?)e-t°at + O St(cost?)e-"dt = -(cost?) e - St(sint?)e-Pdt 1 (в Selcost³)e-*at © S(cost?)e-dt = -2(cost?) e- - St(sint?)e-dt © S(cost³)e-t*at = 2(sint?) e-t Secost³)e-"at t(cost?)e-tdt
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