Test 1 Flashcards
1
Q
dx 1/x
A
-1/x^2
2
Q
int 1/x
A
ln(abs(x))
3
Q
dx sin(x)
A
cos(x)
4
Q
int sin(x)
A
-cos(x)
5
Q
identity sin^2(x) = ?
A
1 - cos^2(x)
6
Q
identity cos^2(x) = ?
A
1 - sin^2(x)
7
Q
identity sin(2x) (with both cos and sin)
A
2sin(x)cos(x)
8
Q
identity sin^2(x) (with only cos)
A
1/2(1 - cos(2x))
9
Q
identity cos^2(x) (with only cos)
A
1/2(1 + cos(2x))
10
Q
tan^2(x) + 1 =
A
sec^2(x)
11
Q
sec^2(x) - 1 =
A
tan^2(x)
12
Q
dx arctan(x)
A
1 / 1 + x^2
13
Q
dx arcsin(x)
A
1 / sqrt(1 - x^2)
14
Q
dx arccos(x)
A
-1 / sqrt(1 - x^2)
15
Q
integration by parts formula
A
int udv = uv - int vdu
