Let m and n be positive integers and a+ 0. Using partial integrals, show that 1 x"ea# dx = -x"eª* n x"-lear dx, -- a am+1 a" (In r)" dx = - (In x)" 2"(In x)"-1 dx. - m +1 m+1/

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
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Let m and n be positive integers and a+ 0. Using partial integrals, show that
1
x"ea# dx = -x"eª*
n
x"-lear dx,
a
| z" (In z)" dr =
m +1
am+1
- (In x)"
2"(In x)"-1 dx.
-
m+1/
Transcribed Image Text:Let m and n be positive integers and a+ 0. Using partial integrals, show that 1 x"ea# dx = -x"eª* n x"-lear dx, a | z" (In z)" dr = m +1 am+1 - (In x)" 2"(In x)"-1 dx. - m+1/
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