Step 3 Recall the Power Rule for Integration for n + -1. un . u' dx = un + 1 + C n + 1 In this case, u = 2x + 1, u' = 2, n = -2, and n + 1 = -1. Now substitute and integrate. -36 dx = -18 3| (2x + 1)-2. 2 dx (2x + 1)2 = -18 u-2u' dx u-1 = -18 · + C1 2x + 12 2x + 12 + Cq. Submit Skip vOu Oon book)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 54E
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Question
Recall the Power Rule for Integration for
n ≠ −1.
 
 
 
 un · u' dx = 
un + 1
n + 1
 + C
In this case,
u = 2x + 1,
u' = 2,
n = −2,
and
n + 1 = −1.
Now substitute and integrate.
 
Step 3
Recall the Power Rule for Integration for n + -1.
un . u' dx =
un + 1
+ C
n + 1
In this case, u = 2x + 1, u' = 2, n = -2, and n + 1 = -1. Now substitute and integrate.
-36
dx = -18
3| (2x + 1)-2. 2 dx
(2x + 1)2
= -18
u-2u' dx
u-1
= -18 ·
+ C1
2x + 12
2x + 12
+ Cq.
Submit
Skip vOu Oon
book)
Transcribed Image Text:Step 3 Recall the Power Rule for Integration for n + -1. un . u' dx = un + 1 + C n + 1 In this case, u = 2x + 1, u' = 2, n = -2, and n + 1 = -1. Now substitute and integrate. -36 dx = -18 3| (2x + 1)-2. 2 dx (2x + 1)2 = -18 u-2u' dx u-1 = -18 · + C1 2x + 12 2x + 12 + Cq. Submit Skip vOu Oon book)
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