Antiderivatives of Trig Functions Flashcards
(13 cards)
1
Q
sin x dx
A
-cos x
2
Q
cos x dx
A
sin x
3
Q
sec^2 x dx
A
tan x
4
Q
csc^2 x dx
A
-cot x
5
Q
sec x tan x dx
A
sec x
6
Q
csc x cot x dx
A
- csc x
7
Q
tan x dx
A
ln |sec x|
8
Q
cot x dx
A
ln |sin x|
9
Q
sec x dx
A
ln |sec x + tan x|
10
Q
csc x dx
A
ln |cscx - cotx|
11
Q
1 / sqrt(a^2 - u^2) dx
A
arcsin u/a + c
12
Q
1 / (a^2 + u^2) dx
A
(1/a)(arctan u/a) + c
13
Q
1/(u*sqrt(u^2-a^2)) dx
A
(1/a)(arcsec u/a) + c