Basic Integration Flashcards
1
Q
∫a dx =
(a is a constant)
A
ax + C
Constant Rule
2
Q
∫x dx =
A
x² / 2 + C
Variable Rule
3
Q
∫x^n dx =
A
x^n+1 / n+1 + C
4
Q
∫(1/x) dx =
A
ln |x| + C
(X must be positive)
5
Q
∫e^x dx =
A
e^x + C
6
Q
∫a^x dx =
A
a^x / ln(a) + C
7
Q
∫ln(x) dx =
A
x ln (x) - x + C
8
Q
∫cos(x) dx =
A
sin(x) + C
9
Q
∫sin(x) dx =
A
-cos(x) + C
10
Q
∫sec²(x) dx =
A
tan(x) + C
11
Q
∫cf(x) dx =
A
c ∫f(x) dx
(Take the constant outside)
12
Q
∫(f(x) + g(x)) dx =
A
∫f(x) dx + ∫g(x) dx
13
Q
∫f(x) - g(x) dx =
A
∫f(x) dx - ∫g(x) dx
