True or false. Assume f is a continuous function on [a, b]. n (a) | f(x) dx = lim f(xi) · Ax a i=1 (b) | xf(x) dx = x | f(x) dx a а b (c) | f(x)· g(x) dx : | f(x) dx g(x) dx a а (d) | cf(x) dx = c | f(x) dx fre а а

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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(a) f
True or false. Assume f is a continuous function on [a, b].
п
(a)
f(x) dx = lim f(xi) · Ax
а
i=1
(b) | xfx) dx = x f(x) dx
а
а
(c) f(x)•g(x) dx = | f(x) dx g(x) dx
а
а
а
(d)
cf (x) dx = c | f(x) dx
а
а
Transcribed Image Text:(a) f True or false. Assume f is a continuous function on [a, b]. п (a) f(x) dx = lim f(xi) · Ax а i=1 (b) | xfx) dx = x f(x) dx а а (c) f(x)•g(x) dx = | f(x) dx g(x) dx а а а (d) cf (x) dx = c | f(x) dx а а
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