3. (a) If f : [0,00) --+ R is continuous, find x 2 d~ 1 f(t)dt. (b)...

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(a) If f : [0,00) --+ R is continuous, find x 2 d~ 1 f(t)dt.

(b) If h : R --+ R is continuous, find : it h(x) dx.

t cost

(c) If 9 : R --+ R is continuous, find d t dt Jo g(x - t) dx.

x 3 2

(d) If f(x) = fo et dt, show that 611 x2 f(x) dx - 211 ex2 dx = 1 - e.

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 07:09 AM

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3. (a) If f : [0,00) --+ R is continuous, find x 2 d~ 1 f(t)dt. (b)...

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An Introduction To Analysis

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