CALC C differentiation, integration, trig

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Last updated 5:02 AM on 7/3/26
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31 Terms

1
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d/dx(x)

1

2
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d/dx(a)

0

3
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d/dx (x^n)

nx^n-1

4
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d/dx (cosx)

-sinx

5
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d/dx (sinx)

cosx

6
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d/dx (tanx)

sec²x

7
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d/dx(csc x)

-csc(x)cot(x)

8
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d/dx (lnx)

1/x

9
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d/dx (e^x)

e^x

10
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d/dx ( sin^-1 x)

1/√(1-x²)

11
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d/dx (cos^-1 x)

-1/√1-x²

12
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d/dx(tan^-1 x)

1/1+x²

13
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d/dx (a^x)

a^x (lna)

14
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∫dx

x+C

15
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∫adx

ax+C

16
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∫x^n dx

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

17
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∫sinxdx

-cos+C

18
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∫cosxdx

sinx+C

19
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∫sec²xdx

tanx+C

20
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∫secx(tanx)dx

secx+C

21
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∫1/xdx

ln|x| +C

22
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∫e^xdx

e^x +C

23
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∫a^xdx

a^x/lna +C

24
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∫1/√1-x²dx

sin^-1 x +C

25
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∫-1/√1-x²dx

cos^-1x +C

26
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∫1/1+x²dx

tan^-1x+C

27
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tan 𝜽

sin𝜽/cos𝜽

28
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csc𝜽

1/sin𝜽

29
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cot𝜽

1/tan𝜽 = cos𝜽/sin𝜽

30
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sec𝜽

1/cos𝜽

31
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sin²𝜽+cos²𝜽

1