O Assume f(x) is a continuous function on [a, b]. Then for a < x < b, f(t) dt = f(x) dx O Assume f(x) is a continuous function on [a, b]. Then for a < x < b, d f(t) dt = f(x) dx O Assume f(x) is a continuous function on [a, b]. Then f(x) dx = lim 2 f(c,)Ax j=1 b- a -,C; = a + jAx. where Ax = n O Assume f(x) is a continuous function on [a, b] and a

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
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Which statement below is considered to be a correct version of the fundamental theorem of calculus?
uestion 5 of 24
O Assume f(x) is a continuous function on [a, b]. Then for a < x < b,
d
f(t) dt = f(x)
dx
Assume f(x) is a continuous function on [a, b]. Then for a < x < b,
d.
f(t) dt = f(x)
dx
O Assume f(x) is a continuous function on [a, b]. Then
f(x) dx = lim f(c,)Ax
n-00
j=1
a
b - a
-,C; = a + jAx.
where Ax =
n
O Assume f(x) is a continuous function on [a, b] and a <c < b. Then
f(x) dx +
/ f(x) dx =
f(x) dx
a
a
Assume f(x) is a continuous function on [a, b]. Then
| f(x) dx =
| f(2) dz
Transcribed Image Text:uestion 5 of 24 O Assume f(x) is a continuous function on [a, b]. Then for a < x < b, d f(t) dt = f(x) dx Assume f(x) is a continuous function on [a, b]. Then for a < x < b, d. f(t) dt = f(x) dx O Assume f(x) is a continuous function on [a, b]. Then f(x) dx = lim f(c,)Ax n-00 j=1 a b - a -,C; = a + jAx. where Ax = n O Assume f(x) is a continuous function on [a, b] and a <c < b. Then f(x) dx + / f(x) dx = f(x) dx a a Assume f(x) is a continuous function on [a, b]. Then | f(x) dx = | f(2) dz
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