Integrals and Derivatives

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23 Terms

1
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Integral of tan x

ln(sec x) + c

2
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Integral of cot x

-ln(csc x) + c

3
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Integral of sin x

-cos x + c

4
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Integral of cos x

sin x + c

5
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Integral of sec ² x

tan x + c

6
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Integral of csc² x

-cot x + c

7
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Integral of sec x tan x

sec x + c

8
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Integral of csc x cot x

-csc x + c

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Integral of sin-1

1/sqrt (1-x²)

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Integral of cos-1x

-1/sqrt(1-x²)

11
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Integral of tan-1x

1/(1+x2)

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Integral of sec-1x

1/x(sqrt x2-1)

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Integral of csc-1x

-1/x(sqrt x2-1)

14
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Derivative of sin x

cos x

15
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Derivative of cos x

-sin x

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Derivative of tan x

sec2x

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Derivative of csc x

-csc x cot x

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Derivative of cot x

-csc2x

19
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Derivative of sin-1

1/sqrt (1-x²)

20
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Derivative of cos-1

-1/sqrt(1-x2)

21
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Derivative of tan-1

1/(1+x2)

22
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Derivative of sec-1

1/x sqrt(x2-1)

23
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Derivative of csc-1

-1/x sqrt(x2-1)