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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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