Can you show how the -x^2 was found in this integral? I dont understand how this was found. I am guessing there is a constant?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 8E
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Can you show how the -x^2 was found in this integral? I dont understand how this was found. I am guessing there is a constant?

Var (X)
) = f (x (x) - ² ) ² f(x) dx
-∞0
2
1
1
1
=
- [ (²² - )* 2nd²x - [* (x^² - ² ² - ² ) 2 raz - [ 2x³ - 20² + xdx
x
1
=
2xd
2xdx =
2x³
(x²-x²-1): How was the x² found?
Transcribed Image Text:Var (X) ) = f (x (x) - ² ) ² f(x) dx -∞0 2 1 1 1 = - [ (²² - )* 2nd²x - [* (x^² - ² ² - ² ) 2 raz - [ 2x³ - 20² + xdx x 1 = 2xd 2xdx = 2x³ (x²-x²-1): How was the x² found?
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