lowkenuinely 11:21 calc ab final

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20 Terms

1
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integral of tanx

ln| sec x | + C

2
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integral of cotx

-ln| cscx | + C

3
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integral of secx

ln| secx + tanx | + C

4
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integral of cscx

-ln| cscx + cotx | + C

5
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integral of a^x

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

6
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7
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derivative of a^x

a^x times lna times chain rule of x

8
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integral of 1/x

ln|x| + C

9
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integral of lnx

xlnx - x

10
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derivative of log base a of b

lnb/lna ——> 1/lna times 1/b

11
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derivative of lnx

1/x times chain rule

12
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derivative of arcsinx

1/sqrt(1-x²)

13
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derivative of arccosx

-1/sqrt(1-x²)

14
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derivative of arccscx

-1/sqrt(x²-1) |x|

15
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derivative of arcsecx

1/sqrt(x²-1) |x|

16
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derivative of arctanx

1/x²+1

17
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derivative of arccotx

-1/sqrt(x²+1)

18
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integral of 1/sqrt (a²-u²)

arcsin u/a + c

19
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integral of 1/a²+u²

1/a arctan u/a + c

20
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integral of 1/u(u²-a²)

1/a arcsec |u|/a + C

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