Ch 6: Constructing Antiderivatives Flashcards
1
Q
What symbol defines the indefinite integral?
A
Normal integration symbol without boundary numbers
2
Q
What is the indefinite integral of k dx?
A
kx + c
3
Q
What is the indefinite integral of x^n dx?
A
(x^(n+1) / n+1) + c
only true if n != -1
4
Q
What is the indefinite integral of x^-1 dx?
e.g. 1/x
A
ln |x| + c
5
Q
What is the indefinite integral of e^x dx?
A
e^x + c
6
Q
What is the indefinite integral of cos(x) dx?
A
sin(x) + c
7
Q
What is the indefinite integral of sin(x) dx?
A
-cos(x) + c
8
Q
What is the FOTC p 2?
A
d/dx integral from a to x of f(t) dt = f(x)
9
Q
How do you find F(1), where Fâ(x) = e^-x^2 and F(0) = 2?
A
(integral from 0 to 1) + F(0) = F(1)
= (integral from 0 to 1) + 2
10
Q
What is the indefinite integral of 1/sqrt(x)?
A
2 * sqrt(x)
11
Q
What is the indefinite integral of a^x dx?
A
a^x / ln(a) + C
