Calculus Flashcards
1
Q
Evaluate
∫tan(x)dx
A
= -ln(cos(x))
2
Q
differentiate
tan(x)
A
3
Q
Evaluate
∫sin(x)dx
A
=-cos(x)
4
Q
Differentiate
sin(x)
A
= cos(x)
5
Q
Evaluate
∫cos(x) dx
A
= sin(x)
6
Q
Differentiate
cos(x)
A
-sin(x)
7
Q
∫ex dx
A
ex
8
Q
Differentiate
ex
A
ex
9
Q
Evaluate
∫ln(x) dx
A
x (ln(x)-1)
10
Q
Differentiate
ln(x)
A
1
x
11
Q
Differentiate
√x
A
1
2√x
12
Q
Evaluate
∫√x dx
A
(2*x^(3/2))/3
13
Q
Evaluate
∫ 1/x dx
A
ln(|x|)
14
Q
Differentiate
1
x
A
-1
x2
15
Q
Evaluate
∫x2 dx
A
x^3 / 3
16
Q
Differentiate
x2
A
2x
17
Q
Evaluate
∫4x dx
A
(4^x)/(ln(4))
18
Q
Differentiate
4x
A
ln(4)⋅4^x
19
Q
Evaluate
∫x dx
A
x^2/2
20
Q
Differentiate
x
A
=1
21
Q
Evaluate
∫ax dx
A
ax^2 / 2
22
Q
Differentiate
ax
A
a
23
Q
Evaluate
∫cos(ax) dx
A
sin(ax)
a
24
Q
Differentiate
cos(ax)
A
-a sin(ax)
25
Q
Evaluate
∫sin(ax) dx
A
-cos(ax)
a
26
Q
Differentiate
sin(ax)
A
a cos(ax)
