Calculus 1 Review Flashcards
(36 cards)
1
Q
d/dx (x^n) = ?
A
nx^(n - 1)
2
Q
d(sin(x)) = ?
A
cos(x) • dx
3
Q
d(cos(x)) = ?
A
-sin(x) • dx
4
Q
d(tan(x))= ?
A
sec^2(x) • dx
5
Q
d(cot(x)) = ?
A
-csc^2(x) • dx
6
Q
d(sec(x)) = ?
A
sec(x) • tan(x) • dx
7
Q
d(csc(x)) = ?
A
-csc(x) • cot(x) • dx
8
Q
d(e^x) = ?
A
e^x • dx
9
Q
d(ln(x)) = ?
A
dx/x
10
Q
d(a^u) = ?
A
a^u • ln(a) • du
11
Q
d(arcsin(x)) = ?
A
dx/√(a^2 - x^2)
12
Q
d(arccos(x)) = ?
A
-dx/√(a^2 - x^2)
13
Q
d(arctan(x)) = ?
A
dx/(a^2 + x^2)
14
Q
d(arccot(x)) = ?
A
-dx/(a^2 + x^2)
15
Q
d(arcsec(x)) = ?
A
dx/(x√[(x^2) - a^2])
16
Q
d(arccsc(x)) = ?
A
-dx/(x√[(x^2) - a^2])
17
Q
{a • dx = ?
A
ax + c
18
Q
{x^n • dx = ?
A
1/(n + 1) • x^(n+1) + c
19
Q
{sin(x) • dx = ?
A
-cos(x) + c
20
Q
{cos(x) • dx = ?
A
sin(x) + c
21
Q
{tan(u) • du = ?
A
-ln|cos(u)| + c
22
Q
{cot(u) • du = ?
A
ln|sin(u)| + c
23
Q
{sec^2(x) • dx = ?
A
tan(x) + c
24
Q
{csc^2(x) • dx = ?
A
-cot(x) + c
25
{sec(x) • tan(x) • dx = ?
sec(x) + c
26
{csc(x) • cot(x) • dx = ?
-csc(x) + c
27
{a^u • du = ?
(a^u)/(ln(a)) + c
28
{csc(x) • dx = ?
ln|csc(x) - cot(x)| + c
29
{sec(x) • dx = ?
ln|sec(x) + tan(x)| + c
30
{du/(a^2 + u^2) = ?
(1/a) • arctan(u/a) + c
31
{du/u√(u^2 - a^2) = ?
(1/a) • arcsec(u/a) + c
32
{e^x • dx = ?
e^x • (1/dx) + c
33
{du = ?
u + c
34
{du/u = ?
ln|u| + c
35
cos[(π/2) - x] = ?
sin(x)
36
sin[(π/2) - x] = ?
cos(x)
