rst, select appropriate values for u and dv. | and dv =O dx ow, find du and v. Treat a and n as constants. | dx and v = %3D ow, make substitutions in the integration by parts formula

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Use integration by parts to establish the reduction formula.
x" e ax
-1 e ax dx, a # 0
a
First, select appropriate values for u and dv.
and dv = dx
Now, find du and v. Treat a and n as constants.
du = dx and v =
Now, make substitutions in the integration by parts formula and simplify.
Finally, apply the constant multiple rule to complete the proof.
x" e ax
ах
ax
dx
a
Transcribed Image Text:Use integration by parts to establish the reduction formula. x" e ax -1 e ax dx, a # 0 a First, select appropriate values for u and dv. and dv = dx Now, find du and v. Treat a and n as constants. du = dx and v = Now, make substitutions in the integration by parts formula and simplify. Finally, apply the constant multiple rule to complete the proof. x" e ax ах ax dx a
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