1. Graph the function over the specified interval. Then use simple area formula from geometry to find the area function A(x) that gives the area between the graph of the specified function f and the interval [a, x]. Confirm that A'(x) = f(x). Also, verify your answer by direct integration. a. f(x) = 6-x; [a,x] = [-2, x]
1. Graph the function over the specified interval. Then use simple area formula from geometry to find the area function A(x) that gives the area between the graph of the specified function f and the interval [a, x]. Confirm that A'(x) = f(x). Also, verify your answer by direct integration. a. f(x) = 6-x; [a,x] = [-2, x]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![1. Graph the function over the specified interval. Then use simple area formula from geometry
to find the area function A(x) that gives the area between the graph of the specified
function f and the interval [a ,x]. Confirm that A'(x) = f(x). Also, verify your answer
by direct integration.
а. f(x) 3D 6 — х; [а,х] 3D [-2, х]
b. f(x) = 2x + 4; [a,x] = ;,x|
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51d7f6af-c60c-47aa-b912-3301c6cf7343%2F1959898f-34f6-45a6-9884-a4fa30543e05%2Fzc0uw6_processed.png&w=3840&q=75)
Transcribed Image Text:1. Graph the function over the specified interval. Then use simple area formula from geometry
to find the area function A(x) that gives the area between the graph of the specified
function f and the interval [a ,x]. Confirm that A'(x) = f(x). Also, verify your answer
by direct integration.
а. f(x) 3D 6 — х; [а,х] 3D [-2, х]
b. f(x) = 2x + 4; [a,x] = ;,x|
%3D
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