Integration Rules

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Last updated 9:55 PM on 9/1/26
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19 Terms

1
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dx

x + C

2
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xn dx

(xn+1)/(n+1) + C

3
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(1/x) dx

ln|x| dx

4
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ex dx

ex + C

5
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ax dx

[1/ln(a)] * ax + C

6
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ln(x) dx

xln(x) - x + C

7
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sin(x) dx

-cos(x) + C

8
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cos(x) dx

sin(x) + C

9
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tan(x) dx

-ln|cos(x)| + C

10
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cot(x) dx

ln|sin(x)| + C

11
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sec(x) dx

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

12
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csc(x) dx

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

13
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sec2(x) dx

tan(x) + C

14
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csc2(x) dx

-cot(x) + C

15
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sec(x)tan(x) dx

sec(x) + C

16
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csc(x)cot(x) dx

-csc(x) + C

17
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dx/√(a2-x2)

sin-1(x/a) + C

18
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dx/√(a2+x2)

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

19
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dx/x√(x2-a2)

(1/a)sec-1(|x|/a) + C