QUESTION 15 Evaluate sin(Inx) dx Integration by parts will be used repeatedly. What is the expression after the second integration by parts? 2xsin (Inx) - sin(Inx) dx + C xsin (Inx) + xcos(lnx) – [sin (In x) dx + C - xsin (Inx) - xcos (Inx) + + sin(In x) dx + C _xsin (Inx) – xcos(lnx) – sin(In x) dx + C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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QUESTION 15
Evaluate sin (Inx) dx- Integration by parts will be used repeatedly. What is the expression after the second integration by parts?
2xsin (Inx). - sin(Inx) dx + C
xsin (Inx) + xcos(lnx) - [sin(In .x) dx + C
xsin (lnx) – xcos(lnx) +
sin(In x) dx + C
xsin (Inx) – xcos(lnx) –
sin(In x) dx + C
Transcribed Image Text:QUESTION 15 Evaluate sin (Inx) dx- Integration by parts will be used repeatedly. What is the expression after the second integration by parts? 2xsin (Inx). - sin(Inx) dx + C xsin (Inx) + xcos(lnx) - [sin(In .x) dx + C xsin (lnx) – xcos(lnx) + sin(In x) dx + C xsin (Inx) – xcos(lnx) – sin(In x) dx + C
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