x e' dx Using integration by parts to evaluate it is best to let (x+1)2"

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
xe' dx
Using integration by parts to evaluate
it is best to let
(x+1)2"
dx
A
u=x e"; dv=
(x+1)2
x dr
u=e"; dv:
(x+1)2
; dv=x e'dx
(x+1)2
; dv = e'dx
(x+1)2
Transcribed Image Text:xe' dx Using integration by parts to evaluate it is best to let (x+1)2" dx A u=x e"; dv= (x+1)2 x dr u=e"; dv: (x+1)2 ; dv=x e'dx (x+1)2 ; dv = e'dx (x+1)2
2 dx
Using an appropriate algebraic substitution, the integral / at
1+x3/2 reduces to
2y² dy
A
1+y3
* 4y$ dy
B
1+y3
I+y
* 2y² dy
D
1+y
Transcribed Image Text:2 dx Using an appropriate algebraic substitution, the integral / at 1+x3/2 reduces to 2y² dy A 1+y3 * 4y$ dy B 1+y3 I+y * 2y² dy D 1+y
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