Consider the indefinite integral [x(x² − 1)¹⁰ dx. Which of the following u-substitutions should we make to transform this integral 10 1 1/2 √ u ²0⁰ ut du? into

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 68E
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Consider the indefinite integral
[x(x² - 1)1¹⁰ dr.
Which of the following u-substitutions should we make to transform this integral
into
1/12/²0
Ou=
u = −1+x²
U =
10
ut du?
U =
-
2
1
+
2
Ou=√1+x²
1
Xx
-x²
2
Ou=1+x²
Transcribed Image Text:Consider the indefinite integral [x(x² - 1)1¹⁰ dr. Which of the following u-substitutions should we make to transform this integral into 1/12/²0 Ou= u = −1+x² U = 10 ut du? U = - 2 1 + 2 Ou=√1+x² 1 Xx -x² 2 Ou=1+x²
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