Trig Integrals Flashcards
(20 cards)
1
Q
sin(x)
A
-cos(x)
2
Q
Cos(x)
A
sin(x)
3
Q
Sec^2(x)
A
Tan(x)
4
Q
Tan(x)
A
Ln(abs(sec(x)))
5
Q
Cot(x)
A
Ln(abs(sin(x)))
6
Q
Sec(x)
A
Ln(abs(sec(x)+tan(x)))
7
Q
Csc(x)
A
Ln(abs(csc(x)-cot(x)))
8
Q
1/x
A
Ln(abs(x))
9
Q
B^x
A
B^x / ln(B)
10
Q
Csc^2x
A
-cot(x)
11
Q
Sin^2(x)
Power reduction
A
1/2 - (1/2)cos(2x)
12
Q
Cos^2(x)
Power reduction
A
1/2 + (1/2)cos(2x)
13
Q
Tan^2(x)
Identity w sec
A
Sec^2x - 1
14
Q
Sec^n(x)
Power reduction
A
1/(n-1) * sec^(n-2)x * tan(x) + (n-2)/(n-1) *** integral sec^(n-2)x
15
Q
Tan^n(x)
Power reduction
A
1/(n-1) * tan^(n-1)x - integral tan^(n-2)x
16
Q
Tan/Sec identity
A
Sec^2(theta) - Tan^2(theta) == 1
17
Q
Tan^2(theta)
A
Sec^2(theta) - 1
18
Q
arcsin(u)
A
U*arcsin(u) + sqrt(1-u^2)
19
Q
arccos(u)
A
uarccos(u) - sqrt(1-u^2)
20
Q
Arctan(u)
A
U*arctan(u) - 1/2(ln(1+u^2))
