Derivitives and Integrals to Know

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Last updated 11:58 PM on 2/19/26
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14 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)

sec²x

4
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d/dx(sec x)

sec x tan x

5
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d/dx(csc x)

−csc x cot x

6
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d/dx(cot x)

−csc²x

7
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d/dx(ln x) | 1/x

d/dx(a^x) | (ln a)a^x

8
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∫ 1/x dx

ln|x| + C

9
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∫ sin x dx

−cos x + C

10
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∫ cos x dx

sin x + C

11
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∫ tan x dx

−ln|cos x| + C

12
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∫ sec x dx

ln|sec x + tan x| + C

13
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∫ csc x dx

−ln|csc x + cot x| + C

14
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∫ cot x dx

ln|sin x| + C