If I, = Sx" cos x dr, by using integration by parts, prove that In = x" sin r + na"- cos r – n (n – 1) In-2 If I, = Sx"-'e*dx, by using integration by parts, prove that In = x"-'e² – (n – 1) In-1

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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If I, = Sx" cos x dr, by using integration by parts, prove that
In = x" sin r + na"- cos r – n (n – 1) In-2
If I, = Sx"-'e*dx, by using integration by parts, prove that
In = x"-'e² – (n – 1) In-1
Transcribed Image Text:If I, = Sx" cos x dr, by using integration by parts, prove that In = x" sin r + na"- cos r – n (n – 1) In-2 If I, = Sx"-'e*dx, by using integration by parts, prove that In = x"-'e² – (n – 1) In-1
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