Antiderivative Rules

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Last updated 10:52 PM on 4/23/26
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21 Terms

1
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k

kx

2
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xn

xn+1/n+1

3
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1/x

ln |x|

4
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ex

ex

5
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ekx

ekx/k

6
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ax

ax/ln(a)

7
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sin(x)

-cos(x)

8
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sin(kx)

-cos(kx)/k

9
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cos(x)

sin(x)

10
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cos(kx)

sin(kx)/k

11
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sec2(x)

tan(x)

12
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csc2x

-cot(x)

13
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sec(x)tan(x)

sec(x)

14
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csc(x)cot(x)

-csc(x)

15
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1/√1-x2

sin-1x

16
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1/1+x²

tan-1x

17
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tan(x)

-ln|cos(x)| +c

18
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cot(x)

ln|sin(x)|

19
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sec(x)

ln|sec(x) + tan(x)|

20
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csc(x)

-ln|csc(x) + cot(x)|

21
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ln(x)

xln(x) - x