Integrals and Derivatives Flashcards
1
Q
int { cot(u) }
A
ln|sin(u)| + C
2
Q
int { csc(u) }
A
-ln|csc(u) + cot(u)| + C
3
Q
int { csc^2(u) }
A
-cot(u) + C
4
Q
∫ x^n dx
A
(1/(n+1)) * x^(n+1) + C, n ≠ -1
5
Q
∫ e^x dx
A
e^x + C
6
Q
∫ a^x dx
A
(1/ln(a)) * a^x + C
7
Q
∫ 1/x dx
A
ln|x| + C
8
Q
∫ cos(x) dx
A
sin(x) + C
9
Q
∫ sin(x) dx
A
-cos(x) + C
10
Q
∫ sec^2(x) dx
A
tan(x) + C
11
Q
∫ csc^2(x) dx
A
-cot(x) + C
12
Q
∫ sec(x)tan(x) dx
A
sec(x) + C
13
Q
∫ csc(x)cot(x) dx
A
-csc(x) + C
14
Q
∫ tan(x) dx
A
-ln|cos(x)| + C
15
Q
∫ cot(x) dx
A
ln|sin(x)| + C
16
Q
d/dx [x^n]
A
n * x^(n-1)
17
Q
d/dx [e^x]
A
e^x
18
Q
d/dx [ln(x)]
A
1/x
19
Q
d/dx [sin(x)]
A
cos(x)
20
Q
d/dx [cos(x)]
A
-sin(x)
21
Q
d/dx [tan(x)]
A
sec^2(x)
22
Q
d/dx [cot(x)]
A
-csc^2(x)
23
Q
d/dx [sec(x)]
A
sec(x)tan(x)
24
Q
d/dx [csc(x)]
A
-csc(x)cot(x)
