Integration Formulas

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Last updated 6:41 PM on 4/15/26
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18 Terms

1
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∫ xn dx

x(n+1)/(n+1)

2
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∫ (1/x) dx

ln|x|

3
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∫ ex dx

ex

4
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∫ bx dx

bx / ln(b)

5
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∫ sin(x) dx

-cos(x)

6
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∫ cos(x) dx

sin(x)

7
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∫ sec2(x) dx

tan(x)

8
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∫ csc2(x) dx

-cot(x)

9
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∫ sec(x)tan(x) dx

sec(x)

10
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∫ csc(x)cot(x) dx

-csc(x)

11
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∫ sec(x) dx

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

12
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∫ csc(x) dx

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

13
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∫ tan(x) dx

ln|sec(x)|

14
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∫ cot(x) dx

ln|sin(x)|

15
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∫ dx / (x2 + a2)

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

16
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∫ dx / √ (a2 - x2)

sin-1(x/a)

17
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∫ dx / (x2 - a2)

(1/(2a)) ln|(x - a)/(x + a)|

18
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∫ dx / √(x2 +- a2)

ln|x+√(x²+-a²)|