Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 13 - Section 13.1 - The Indefinite Integral - Exercises - Page 961: 78

Answer

Fill the blank with: an antiderivative/integrand.

Work Step by Step

If $F(x)$ is an antiderivative of $f(x)$, that is $\quad F'(x)=f(x)$, then the indefinite integral of f is $\displaystyle \int\underbrace{f(x)}_{integrand}\cdot\underbrace{dx}_{variable.of.int.}=F(x)+C.$ If the derivative of $\underbrace{Julius}_{F(x)}$ is $\underbrace{Augustus}_{f(x)}$, then Augustus is an antiderivative/integrand of Julius. Fill the blank with: an antiderivative/integrand.
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