Evaluate the integral. + 6)e-x 3.95

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 41E
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Evaluate the integral.
+ 6)e
X dx
3.95
Transcribed Image Text:Evaluate the integral. + 6)e X dx 3.95
Expert Solution
Step 1

Given:

I=01x2+6e-xdx  ...(1)

The expression for the integration by parts:

udv=u·v-vdu

Now apply the integration by parts to solve the above integral.

Let,

u=x2+6 ; dv=e-xdxdudx=ddxx2+6 ; dv=e-xdxdudx=2x+0 ; v=-e-xdu=2xdx ; v=-e-x

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