Math 1172 Basic Integration Formulas

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Last updated 9:31 PM on 8/30/26
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17 Terms

1
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∫ k dx

kx + C

2
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∫ 1/x dx

ln|x| + C

3
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∫ x^n dx (n ≠ -1)

(x^(n+1))/(n+1) + C

4
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∫ e^x dx

e^x + C

5
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∫ a^x dx

(a^x)/ln(a) + C

6
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∫ cos(x) dx

sin(x) + C

7
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∫ sin(x) dx

-cos(x) + C

8
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∫ tan(x) dx

ln|sec(x)| + C

9
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∫ cot(x) dx

-ln|csc(x)| + C

10
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∫ sec(x) dx

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

11
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∫ csc(x) dx

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

12
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∫ sec²(x) dx

tan(x) + C

13
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∫ csc²(x) dx

-cot(x) + C

14
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∫ sec(x)tan(x) dx

sec(x) + C

15
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∫ csc(x)cot(x) dx

-csc(x) + C

16
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∫ 1/(x² + a²) dx

(1/a)arctan(x/a) + C

17
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∫ 1/√(a² - x²) dx

arcsin(x/a) + C