Match functions (a)(d) with their antiderivatives (i)(iv). (a) f(x) = sin x (b) f(x) = x sin(x)

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Match functions (a)–(d) with their antiderivatives (i)–(iv).

(a) f(x) = sin x (b) f(x)= x sin(x) (c) f(x)= sin(1 - x) (d) f(x) = x sin.x (i) F(x) = cos(1-x) (ii) F(x) =

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 26, 2023 03:09 AM

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Match functions (a)(d) with their antiderivatives (i)(iv). (a) f(x) = sin x (b) f(x) = x sin(x)

Question:

(a) f(x) = sin x (b) f(x) = x sin(x²) (c) f(x)= sin(1 - x) (d) f(x) = x sin.x (i) F(x)= cos(1 - x) (ii) F(x) = cos x (iii) F(x) = cos(x²) (iv) F(x) = sin x - x cos x

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a An antiderivative of sin x is cos x which is ii As a check we have cos x sin x sin ...View the full answer

Calculus

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