What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by inspection after the substitution. If there are many of possibilities, select one of them. 3 W = = (1+x ² ) W - 3 W = x 2 W = 3 [√x (1 + x ²³ )³ dx )5 3 (1 + x ²² ) 5 X

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 34E
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pls help with both the questions. I BEG of you.

What substitution(s) would make the following integral simpler? I.e., simple enough
to integrate by inspection after the substitution.
Ow=
3
= (1 + x ²³² )
2
If there are many of possibilities, select one of them.
W -
3
W = x 2
W =
[√ē(1+
(1 + x ²³² ) 5
√x
√x(1+r)5 da
dx
2
Transcribed Image Text:What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by inspection after the substitution. Ow= 3 = (1 + x ²³² ) 2 If there are many of possibilities, select one of them. W - 3 W = x 2 W = [√ē(1+ (1 + x ²³² ) 5 √x √x(1+r)5 da dx 2
Which of the integrals below could be transformed into a much simpler integral by
using a substitution?
If more than one answer is correct, select just one of them.
6
2
3
[x² (x³ +3)⁰ dx
S
La
1
x ln x
[
X dx
In x
dx
[rs
x sin (x) dx
Transcribed Image Text:Which of the integrals below could be transformed into a much simpler integral by using a substitution? If more than one answer is correct, select just one of them. 6 2 3 [x² (x³ +3)⁰ dx S La 1 x ln x [ X dx In x dx [rs x sin (x) dx
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