dw (Hint: Use symmetry.) Vw50 + w20 + 1 -5 in

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 43E
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Evaluate the integrals.

dw (Hint: Use symmetry.)
Vw50 + w20 + 1
-5
in
Transcribed Image Text:dw (Hint: Use symmetry.) Vw50 + w20 + 1 -5 in
Expert Solution
Step 1

Given integral,

-55w3w50+w20+1 dw

Step 2

Using symmetry properties

If f is an odd function f-x=-fx then -aafx dx=0

fw=w3w50+w20+1Nowf-w=-w3-w50+-w20+1         =-w3w50+w20+1         =-w3w50+w20+1         =-fw

Therefore f is an odd function,

So, -55w3w50+w20+1 dw=0

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