Table of Indefinite Integrals (14 rules)

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14 Terms

1
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∫xn dx

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

2
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∫1/x dx

ln|x| + C

3
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∫ex dx

ex + C

4
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∫ax dx

a^x/ln(a) + C

5
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∫sin(x) dx

-cos(x) + C

6
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∫cos(x) dx

sin(x) + C

7
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∫sec2(x) dx

tan(x) + C

8
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∫csc2(x) dx

-cot(x) + C

9
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∫sec(x)tan(x) dx

sec(x) + C

10
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∫csc(x)cot(x) dx

-csc(x) + C

11
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∫ 1/(x2+1) dx

tan-1(x) + C

12
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∫ 1/√1-x2 + C

sin-1(x) + C

13
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∫1/x√x2-1 dx

arcsec(x) + C
sec-1(x) + C

14
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∫k dx

kx + C