Integral Rules

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17 Terms

1
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Integral of sin(u) du

-cos(u) + c

2
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Integral of cos(u) du

sin(u) + c

3
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Integral of sec2(u) du

tan(u) +c

4
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Integral of csc2(u) du

-cot(u) +c

5
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Integral of sec(u)tan(u) du

sec(u) + c

6
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Integral of csc(u)cot(u) du

-csc(u) + c

7
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Integral of un du

(un+1)/(n+1) + c for n ≠ -1

8
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Integral of u-1 du

ln|u| + c

9
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Integral of eu du

eu + c

10
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Integral of au du

(au)/(ln(a)) +c

11
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Integral of du/(1-u2)1/2

sin-1(u) + c

12
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Integral of du/(u2+1)

tan-1(u) + c

13
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Integral of du/|u|(u2-1)1/2

sec-1|u| + c

14
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Integral of tan(u) du

-ln|cos(u)| + c

15
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Integral of cot(u) du

ln|sin(u)| + c

16
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Integral of sec(u) du

ln|sec(u) + tan(u)| + c

17
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Integral of csc(u) du

-ln|csc(u) + cot(u)| + c