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Problem 74

True or False? In Exercises $73-78$ , determine w…

03:05
University of Delaware
Problem 73

True or False? In Exercises $73-78$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

The antiderivative of $f(x)$ is unique.

Answer

false

True or False? In Exercises $73-78$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. Each antiderivative of an $n$ th-degree polynomial function is an $(n+1)$ th-degree polynomial function. True or False? In Exercises $73-78$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If $F(x)$ and $G(x)$ are antiderivatives of $f(x),$ then $$F(x)=G(x)+C$$ True or False? In Exercises $73-76$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If $$\lim _{x \rightarrow c} f(x)=L,$ then $f(c)=L$$ True or False? In Exercises $73-78$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. $\int f(x) g(x) d x=\left(\int f(x) d x\right)\left(\int g(x) d x\right)$
Chapter 4
Integration
Section 1
Antiderivatives and Indefinite Integration
Calculus of a Single Variable