Anti-Derivatives Flashcards
1
Q
f(x) = k
∫k dx
A
kx + c
2
Q
xn
∫xn dx
A
(1/n + 1) xn+1 + c
3
Q
1/x
∫1/x dx
A
ln(x) + c
4
Q
ex
∫ex dx
A
ex + c
5
Q
sin x
∫sin(x) dx
A
-cos(x) + c
6
Q
cos x
∫cos(x) dx
A
sin(x) + c
7
Q
sec2 x
∫sec2(x) dx
A
tan(x) + c
8
Q
csc2 x
∫csc2(x) dx
A
-cot(x) + c
9
Q
sec(x)tan(x)
∫sec(x)tan(x) dx
A
sec(x) + c
10
Q
csc(x)cot(x)
∫csc(x)cot(x) dx
A
-csc(x) + c
11
Q
(1/x2 + 1)
∫(1/x2 + 1) dx
A
tan-1(x) + c
12
Q
(1/√ (1 - x2))
∫(1/√ (1 - x2)) dx
A
sin-1(x) + c
13
Q
(-1/x2 + 1)
∫(-1/x2 + 1) dx
A
cot-1(x) + c
14
Q
(-1/√ (1 - x2))
∫(-1/√ (1 - x2)) dx
A
cos-1(x) + c
15
Q
(1/x (√ x2 - 1))
∫(1/x (√ x2 - 1)) dx
A
sec-1(x) + c
