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(Anti) Derivatives of Trig Functions Flashcards | StudBud
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(Anti) Derivatives of Trig Functions
(Anti) Derivatives of Trig Functions
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1
d/dx - sin x =
- cos(x) + c
-cos(x)
cos(x)
cos(x) + c
2
d/dx sin(x) =
cos(x)
- cos(x)
- sin(x)
sin(x)
3
d/dx cos x =
sin(x)
- cos(x)
- sin(x)
cos(x)
4
d/dx - sin(3x) =
3 cos(3x)
- cos(3x)
- 3 cos(3x)
cos(3x)
5
∫ cos(x) dx =
- cos(x) + c
- sin(x) + c
cos(x) + c
sin(x) + c
6
d/dx sin(2x) =
cos(2x)
-2 cos(2x)
2 cos(2x)
- cos(2x)
7
d/dx cos(x) =
cos(x)
- sin(x)
- cos(x)
sin(x)
8
d/dx 2 cos(x) =
-2 sin(x)
1/2 sin(x)
2 sin(x)
- 1/2 sin(x)
9
d/dx -sin x =
cos(x) + c
cos(x)
- cos(x) + c
- cos(x)
10
∫ 5 sin x dx =
- 5 sin(x) + c
5 cos(x) + c
- 5 cos(x) + c
5 sin(x) + c
11
d/dx - cos(x) =
- cos(x)
- sin(x)
cos(x)
sin(x)
12
∫ cos (2x) dx =
cos(2x) + c
1/2 sin(2x) + c
sin(2x) + c
2 sin(2x) + c
13
∫ - sin x dx =
cos(x) + c
- sin(x) + c
sin(x) + c
- cos(x) + c
14
∫ sin(x) dx =
- sin(x) + c
- cos(x) + c
cos(x) + c
sin(x) + c
15
∫ - 3 cos(x) dx =
- 1/3 cos(x) + c
- 3 sin(x) + c
3 sin(x) + c
1/3 cos(x) + c
16
d/dx - sin(x) =
cos(x)
- sin(x)
- cos(x)
sin(x)
17
∫ - sin(x) dx =
- cos(x) + c
cos(x) + c
sin(x) + c
- sin(x) + c
18
d/dx sin(x) =
- sin(x)
sin(x)
cos(x)
- cos(x)
19
∫ cos(x) dx =
- cos(x) + c
sin(x) + c
cos(x) + c
- sin(x) + c
