Integral Formulas Flashcards
1
Q
Integral of: du
A
u+C
2
Q
Integral of: kf(u)du
A
K~f(u)du
3
Q
Integral of: [f(u)+_ g(u)]du
A
~f(u)du +_ ~g(u)du + C
4
Q
Integral of: u^ndu
A
(u^n+1/ n+1) + C
5
Q
Integral of: du/u
A
ln|u| + C
6
Q
Integral of: e^u du
A
e^u + C
7
Q
Integral of: Sin(u)du
A
-Cos(u) + C
8
Q
Integral of: Cos(u)du
A
Sin(u) + C
9
Q
Integral of: Tan(u)du
A
-ln|Cos(u)| + C
10
Q
Integral of: Csc(u)du
A
-ln|Csc(u)+Cot(u)| + C
11
Q
Integral of: Sec(u)du
A
ln|Sec(u)+Tan(u)| + C
12
Q
Integral of: Cot(u)du
A
ln|Sin(u)| + C
13
Q
Integral of: Sec^2(u)du
A
Tan(u) + C
14
Q
Integral of: Csc^2(u)du
A
-Cot(u) + C
15
Q
Integral of: Sec(u)Tan(u)du
A
Sec(u) + C
16
Q
Integral of: Csc(u)Cot(u)du
A
-Csc(u) + C
17
Q
Integral of: du/ (a^2 - u^2)^1/2
A
arcsin(u/a) + C
18
Q
Integral of: du/ a^2 + u^2
A
(1/a)arctan(u/a) + C
19
Q
Integral of: du/ u(a^2 - u^2)^1/2
A
(1/a)arcsec(|u|/a) + C
20
Q
Integral of: kf(u)du
A
K~f(u)+C
