anti derivatives Flashcards
1
Q
∫c dx
A
cx + C
2
Q
∫ x^n dx
A
((x^n +1) / (n + 1)) + C (n != -1)
3
Q
∫1/x dx
A
ln |x| + C
4
Q
∫c^ax dx
A
(1/a) * c^ax + C
5
Q
∫ a^x dx
A
(a^x / ln(a)) + C
6
Q
∫ln(x) dx
A
x * ln(x) - x + C
7
Q
∫loga(x) dx
A
((xln(x) - x)/ln(a)) + C
8
Q
∫sin(x) dx
A
-cos(x) + C
9
Q
∫cos(x) dx
A
sin(x) + C
10
Q
∫tan(x) dx
A
-ln |cos x| + C
11
Q
∫f’(x)/f(x) dx
A
ln |f(x)| + C
12
Q
A
13
Q
∫e^x dx
A
e^x + C
14
Q
∫e^ax
A
e^ax / a
15
Q
Integration by parts:
∫U dV
A
UV - ∫V dU
