Top 20 integrals

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Number 7: sin x the last thing you want in your derivative equation is sin x.

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20 Terms

1
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a dx

ax + c

2
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𝑥ⁿ 𝑑𝑥

x^n+1 / n+1 + c

3
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1/x dx

ln |x| + 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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ln x dx

x ln x -x +c

7
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sin x dx

-cos x +c

8
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cos x dx

sin x +c

9
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tan x dx

ln | secx | +c

10
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cot x dx

ln | sinx | +c

11
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sec x dx

ln | secx + tanx | + c

12
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csc x dx

ln | cscx -cotx | + c

13
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sec^2 x dx

tanx +c

14
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secx tanx dx

secx + c

15
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csc^2 dx

-cotx + c

16
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cscx cotx dx

-cscx + c

17
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𝑡𝑎𝑛² x dx

tanx - x + c

18
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1 / (𝑎² + 𝑥²) 𝑑𝑥

(1/a) tan^-1 x/a +c

19
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1 / ( a^2 -x^2)^ (1/2) dx

sin^-1 x\a +c

20
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1 / x ( x^2 - a^2)^ (1/2) dx

(1\a) sec^-1 |x\a| + c