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Calculus AB | Derivatives and Integrals of Trig Functions Flashcards | StudBud
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Calculus AB | Derivatives and Integrals of Trig Functions
Calculus AB | Derivatives and Integrals of Trig Functions
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#calculus #derivatives #integrals #trigfunctions
Flashcards
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Questions
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Answers
1
d/dx csc x =
- csc2 x
- cot x csc x
cot x csc x
sec2 x
2
d/dx - cos x =
sin x
- sin x
- cos x
cos x
3
∫ - cos x dx =
- cos x
sin x
cos x
- sin x
4
∫ tanx dx =
ln|sinx|+c
sec2x
-ln|cosx|+c
ln|cosx|+c
5
∫ cscx dx =
-cot2x
-cscxcotx
-ln|cosx|+c
-ln|cscx+cotx|+c
6
∫ sin x dx =
- sin x
- cos x
sin x
cos x
7
d/dx cos x =
- cos x
sin x
- sin x
cos x
8
∫ - sin x dx =
- sin x
- cos x
cos x
sin x
9
d/dx e
x
=
ex-1
1/(xex)
1/x
ex
10
d/dx - sin x =
sin x
- sin x
cos x
- cos x
11
∫ 1/x dx =
ln|x|+c
-x-2
x-2
-ln|x|+c
12
∫ sec x dx =
-ln|cscx+cotx|+c
-ln|cosx|+c
ln|secx+tanx|+c
secxtanx
13
d/dx sec x =
sec2 x
sec x cot x
- sec x tan x
sec x tan x
14
d/dx sin x =
sin x
- sin x
- cos x
cos x
15
d/dx tan x =
- sec2 x
sec2 x
sec x tan x
tan x
16
∫ 1/(x-5) dx =
1
(x-5)-2+c
-ln|x-5|+c
ln|x-5|+c
17
d/dx ln x =
1/x
e
ex
1/|x|
18
d/dx cot x =
csc2 x
- csc2 x
tan x sec x
-tan x sec x
19
∫ cos x dx =
cos x
- sin x
sin x
- cos x
20
∫ cot x dx =
ln|sinx|+c
tanx+c
-csc2x
-ln(cosx|+c
