Perhaps the simplest change of variables is the shift or translation given by u = x +
Question:
Perhaps the simplest change of variables is the shift or translation given by u = x + c, where c is a real number.
a. Prove that shifting a function does not change the net area under the curve, in the sense that
b. Draw a picture to illustrate this change of variables in the case that f(x) = sin x, a = 0, b = π, and c = π/2.
Transcribed Image Text:
Го •b+c f(u) du. f(x + c) dx = a+c
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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