Integration Flashcards
1
Q
x
A
xⁿ⁺¹/n+1 + c
2
Q
(ax+b)ⁿ
A
1/a ((ax+b)ⁿ⁺¹/n+1) + c
3
Q
1/x
A
ln |x| + c
4
Q
1/ax+b
A
1/a ln |ax+b| + c
5
Q
eˣ
A
eˣ + c
6
Q
e ᵃˣ⁺ᵇ
A
1/a eᵃˣ⁺ᵇ +c
7
Q
sinx
A
-cosx + c
8
Q
sinax+b
A
-1/a cos(ax+b) + c
9
Q
cosx
A
sinx + c
10
Q
cos( ax+b)
A
1/a sin(ax+b) + c
11
Q
tanx
A
- ln|cosx| + c or ln |secx| + c
12
Q
tan ax + b
A
1/a lnsec(ax+b )
13
Q
secx
A
ln |secxtanx| +c
14
Q
sec²x
A
tan x + c
15
Q
cosecx
A
ln | tan(x/2) |+ c
16
Q
cot x
A
ln |sin x | +c
17
Q
f ‘x / f x
A
ln |f (x) | + c
18
Q
f ‘x (f x)ⁿ
A
( f x )ⁿ⁺¹/n+ 1 + c
19
Q
f ‘ x eᶠ ˣ
A
eᶠ ˣ + c
20
Q
1/ √(a² -x² )
A
sin⁻¹(x/a) + c
21
Q
1/ (a² +x² )
A
1/a tan⁻¹(x/a) + c
