Consider the definite integral (2- 2x)dx. The graph of the integrand appears to the left. On the graph, shade the region whose value is being determined by the definite integral. Do you expect the value of the definite integral to be positive or negative? Positive Negative Zero Give an antiderivative of the integrand. Use your antiderivative to determine the value of the definite integral (2– 2x)dx.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 31E
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Definite integral of a linear function
T
Consider the definite integral (2- 2x) dx. The
-1
graph of the integrand appears to the left. On the
graph, shade the region whose value is being
determined by the definite integral.
10
Do you expect the value of the definite integral to be
positive or negative?
Positive
Negative
-5
Zero
-5
Give an antiderivative of the integrand.
-10
Use your antiderivative to determine the value of the
definite integral (2– 2x)dx.
-15
-1
Transcribed Image Text:Definite integral of a linear function T Consider the definite integral (2- 2x) dx. The -1 graph of the integrand appears to the left. On the graph, shade the region whose value is being determined by the definite integral. 10 Do you expect the value of the definite integral to be positive or negative? Positive Negative -5 Zero -5 Give an antiderivative of the integrand. -10 Use your antiderivative to determine the value of the definite integral (2– 2x)dx. -15 -1
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