Table of Integration Formulas on page 555 of Cengage Calculus 9th Edition

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18 Terms

1
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integral of x^n dx

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

2
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integral of 1/x dx

ln |x| + C

3
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integral of e^x dx

e^x + C

4
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integral of b^x dx

b^x/lnb + C

5
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integral of sinx dx

-cosx + c

6
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integral of cosx dx

sinx + c

7
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integral of sec^2(x) dx

tanx + C

8
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integral of csc^2(x)

-cotx + c

9
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integral of secx tanx dx

secx + c

10
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integral of cscx cotx dx

-cscx + C

11
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integral of secx dx

ln|secx + tanx| + C

12
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integral of cscx dx

ln|cscx - cotx| + C

13
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integral of tanx dx

ln|secx| + C

14
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integral of cotx dx

ln|sinx| + C

15
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integral of sinhx dx

cosh(x) + C

16
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integral of coshx dx

sinh(x) + C

17
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integral of dx/(a^2+x^2)

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

18
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integral of (dx)/(sqrt(a^2-x^2))

arcsin(x/a) + C (as long as a>0)