Anti-Derivatives Flashcards
1
Q
f(x)=c
A
F(x) = cx
2
Q
f(x)+g(x)
A
F(x)+G(x)
3
Q
x^n (n != -1)
A
(x^(n+1))/(n+1)
4
Q
1/x
A
ln|x|
5
Q
e^x
A
e^x
6
Q
c^x
A
(c^x)/(ln(c))
7
Q
cos(x)
A
sin(x)
8
Q
sin(x)
A
-cos(x)
9
Q
sec²(x)
A
tan(x)
10
Q
sec(x)tan(x)
A
sec(x)
11
Q
1/(sqrt(1-x²))
A
arcsin(x)
12
Q
1/(1+x²)
A
arctan(x)
13
Q
1/(sqrt(1-x²))
A
arcsin(x)
14
Q
1/(1+x²)
A
arctan(x)
15
Q
1/(x(sqrt(x² - 1)))
A
arcsec(x)