.3 2 x - 4x -2 x? + 1

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.3: Multiplying Monomials
Problem 42WE
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Question

Use symmetry to evaluate the following
integrals.

.3
2
x - 4x
-2
x? + 1
Transcribed Image Text:.3 2 x - 4x -2 x? + 1
Expert Solution
Step 1

The given integral is,

-22x3-4xx2+1dx

The function is f(x)=x3-4xx2+1

When function f(x) is symmetric about y axis, that means when function is even, -aaf(x)dx=20af(x)dx

When function f(x) is symmetric about origin, that means when function is odd, -aaf(x)dx=0.

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