Calculus 2

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Last updated 10:33 PM on 10/6/25
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29 Terms

1
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d/dx sin x

cos x

2
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d/dx cos x

-sin x

3
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d/dx tan x

sec² x

4
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d/dx cot x 

-csc2x

5
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d/dx sec x

sec x tan x

6
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d/dx csc x

-csc x cot x

7
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∫sin x

-cos x

8
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∫cos x

sin x

9
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∫tan x

ln |sec x|

10
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∫cot x

ln |sin x|

11
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∫sec x

ln |sec x + tan x|

12
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∫csc x

-ln |csc x + cot x |

13
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d/dx sin-1x

1 / √(1 - x²)

14
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d/dx cos-1x

-1 / √(1 - x²)

15
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d/dx tan-1x

1 / (1 + x²)

16
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d/dx cot-1x

-1 / (1 + x²)

17
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d/dx sec-1x

1/|x|√(x² - 1)

18
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d/dx csc-1x

-1 / |x|√(x² - 1)

19
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∫dx/(x2+a2)

1/a(tan-1(x/a))

20
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∫dx/ √(a2-x2)

sin-1(x/a)

21
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Sin2θ+Cos2θ

1

22
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1+Tan2θ

Sec2θ

23
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1+Cot2θ

Csc2θ

24
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√(a2-x2)

x = a sin θ

25
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√(a2+x2)

x = a tanθ

26
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√(x2-a2)

x = a secθ

27
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Sin2x

1/2(1-Cos2x)

28
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Cos2x

1/2(1+Cos2x)

29
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SinxCosx

1/2(Sin2x)

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