at ch Use the Fundamental Theorem to show that the following is true. a f b C b [ f(x) dx = ff(x)dx + ff(x)dx a ate b Use the Fundamental Theorem of Calculus to rewrite the left side of the equation. (f(x)dx=0-0 a e ra Does 00 a Use the Fundamental Theorem of Calculus to rewrite the right side of the equation. Simplify completely. C [ f(x)dx + [f(x)dx = -F(a)) + - F(c) =- a b C a No Yes C C b ff(x)dx=ff(x)dx + ff(x)dx? a ... C

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Question
Use the Fundamental Theorem to show that the following is true.
at
ch
b
с
b
Sf(x)dx=ff(x)dx + ff(x)dx
a
с
Use the Fundamental Theorem of Calculus to rewrite the left side of the equation.
a fo
a
ate
ppy.
appro
Use the Fundamental Theorem of Calculus to rewrite the right side of the equation. Simplify completely.
SI
b
ffoxx-0-0
f(x) dx =
a
b
ff(x)dx + ff(x)dx = -F(a) + (- F(c)) =□-□
e ra Does
с
00
a
b
[ f(x)dx=ff(x)dx + ff(x)dx?
a
a
No
Yes
b
C
Transcribed Image Text:Use the Fundamental Theorem to show that the following is true. at ch b с b Sf(x)dx=ff(x)dx + ff(x)dx a с Use the Fundamental Theorem of Calculus to rewrite the left side of the equation. a fo a ate ppy. appro Use the Fundamental Theorem of Calculus to rewrite the right side of the equation. Simplify completely. SI b ffoxx-0-0 f(x) dx = a b ff(x)dx + ff(x)dx = -F(a) + (- F(c)) =□-□ e ra Does с 00 a b [ f(x)dx=ff(x)dx + ff(x)dx? a a No Yes b C
at
ch
Use the Fundamental Theorem to show that the following is true.
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b
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[ f(x) dx = ff(x)dx + ff(x)dx
a
atel
opy.
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b
Use the Fundamental Theorem of Calculus to rewrite the left side of the equation.
(f(x)dx=0-0
a
a
Use the Fundamental Theorem of Calculus to rewrite the right side of the equation. Simplify completely.
Does
00
с
C
[ f(x)dx + [f(x)dx = -F(a) + - F(c) =-
a
C
No
Yes
b
C
b
ff(x)dx = f(x) dx + f(x)dx?
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...
Q
F
Transcribed Image Text:at ch Use the Fundamental Theorem to show that the following is true. e ra a f b C b [ f(x) dx = ff(x)dx + ff(x)dx a atel opy. pprox b Use the Fundamental Theorem of Calculus to rewrite the left side of the equation. (f(x)dx=0-0 a a Use the Fundamental Theorem of Calculus to rewrite the right side of the equation. Simplify completely. Does 00 с C [ f(x)dx + [f(x)dx = -F(a) + - F(c) =- a C No Yes b C b ff(x)dx = f(x) dx + f(x)dx? a a C 8 ... Q F
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