University of Delaware
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80
Problem 81
Problem 76
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
$$F(x)=G(x)+C$$
Answer
True
Topics
Add to Playlist
You must be logged in to bookmark a video.
Share Question
Report Question
Create a free account to watch this video
...and 1,000,000 more!
OR
Join 5 million HS and College students
Discussion
Video Transcript
to the statement's true. There's proof. I'm gonna set Max. You too, Max. No. Minus deluxe shoes? No thanks. Max Linus the mother Intendant. Max the ex integrations. Linear. So vax, Linus. No, thanks. Thanks. Which is the general? Who? Zero, Jax. Because just some constant. So that means, But minus three attacks in the constant. That means the death of Max Seaport to you, Max, cause some constant. That makes sense.
Recommended Questions
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.
$\int f(x) g(x) d x=\left(\int f(x) d x\right)\left(\int g(x) d x\right)$
True or False? In Exercises $83 - 86$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If
$$\int _ { a } ^ { b } [ f ( x ) - g ( x ) ] d x = A$$
then
$$\int _ { a } ^ { b } [ g ( x ) - f ( x ) ] d x = - A$$
True or False? In Exercises $63-68$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
$$\int_{a}^{b}[f(x)+g(x)] d x=\int_{a}^{b} f(x) d x+\int_{a}^{b} g(x) d x$$
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 $p(x)$ is a polynomial function, then $p$ has exactly one antiderivative whose graph contains the origin.
TRUE OR FALSE? In Exercises 77 and 78, determine whether the statement is true or false. Justify your answer.
If $f(x) = x + 1$ and $g(x) = 6x$, then $(f \circ g)(x) = (g \circ f)(x)$.
True or False? In Exercises $63-68$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
$$\int_{a}^{b} f(x) g(x) d x=\left[\int_{a}^{b} f(x) d x\right]\left[\int_{a}^{b} g(x) d x\right]$$
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 $73-76,$ determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If $f$ is undefined at $x=c$ , then the limit of $f(x)$ as $x$ approaches $c$ does not exist.
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 $$f(c)=L,$ then $\lim _{\mathrm{lim}} f(x)=L$$
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 $$\lim _{x \rightarrow c} f(x)=L,$ then $f(c)=L$$