Integral Formulas Flashcards
(19 cards)
1
Q
∫1 dx
A
1x + c
2
Q
∫k dx
A
kx + c
3
Q
∫x^n dx
A
x^n+1/x+1 + c
4
Q
∫x^-1 dx
A
ln|x| + c
5
Q
∫e^x dx
A
e^x + c
6
Q
∫lnX dx
A
x * lnX - x + c
7
Q
∫sinX dx
A
-cosX + c
8
Q
∫cosX dx
A
sinX + c
9
Q
∫sec^2 X dx
A
tanX + c
10
Q
∫csc^2 X dx
A
-cotX + c
11
Q
∫secXtanX dx
A
secX + c
12
Q
∫cscXcotX dx
A
-cscX + c
13
Q
∫tanX dx
A
ln|secX| + c
14
Q
∫cotX dx
A
ln|sinX| + c
15
Q
∫secX dx
A
ln|secX + tanX| + c
16
Q
∫cscX dx
A
ln|cscX - cotX| + c
17
Q
∫1/x^2 + a^2 dx
A
1/a tan^-1 (x/a) + c
18
Q
What are the general pairings for integral formulas?
A
- sin / cos
- sec / tan
- csc / cot*
cot sometimes paired with sin
19
Q
What are the advanced* integral formulas?
AKA which formulas aren’t just [pair] + c
A
- tan (ln|pair|)
- cot (ln|sin|)
- sec + csc (ln|int - pair|)
