Common Integrals

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16 Terms

1
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Integral of 1/x

ln[x] + C

2
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Integral of cos

sin(x) + C

3
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Integral of sin

-cos(x) + C

4
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Integral of tan

ln[sec(x)] + C or -ln[cos(x)] + C

5
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Integral of cot

ln[sin(x)] + C or -ln[csc(x)] + C

6
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Integral of sec^2(x)

tan(x) + C

7
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Integral of csc^2(x)

-cot(x) + C

8
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Integral of sec(x)tan(x)

sec(x) + C

9
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Integral of csc(x)cot(x)

-csc(x) + C

10
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Integral of sec(x)

ln[sec(x) + tan(x)] + C

11
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Integral of csc(x)

ln[csc(x) - cot(x)] + C

12
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Integral of e^x

e^x + C

13
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Integral of a^x

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

14
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Integral of 1/(1-x^2)^1/2

sin^-1(x) + C

15
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Integral of 1/1+x^2

tan^-1(x) + C

16
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Integral of 1/x(x^2-1)^1/2

sec^-1(x) + C