(a) Sketch a graph of the function -√√9-x²-1 { -2x - 3|+2 f(x) = -3 ≤x≤0, 0 < x, 4 on the interval -3 ≤ x ≤ 4 and calculate the definite integral f f(x) dx in terms of area (do not antidifferentiate). f(x) dz -3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Hello, this is from a practice exam to prepare for my final. How would I go about doing this? What does it mean not to antidifferentiate? Isn't that just integration?

(a) Sketch a graph of the function
-√√9-x²-1
{
-2x - 3| +2
f(x) =
-3≤x≤0,
0 < x,
4
on the interval -3 ≤ x ≤ 4 and calculate the definite integral f f(x) dx
in terms of area (do not antidifferentiate).
f(x) dz
-3
Transcribed Image Text:(a) Sketch a graph of the function -√√9-x²-1 { -2x - 3| +2 f(x) = -3≤x≤0, 0 < x, 4 on the interval -3 ≤ x ≤ 4 and calculate the definite integral f f(x) dx in terms of area (do not antidifferentiate). f(x) dz -3
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