Inverse trig integrals

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15 Terms

1
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∫du/a²+u²

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2
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∫du/u√(u²-a²)

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3
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∫du/√(a²-u²)

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4
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d/dx sin(x)

cos(x)

5
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d/dx cos(x)

-sin(x)

6
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d/dx tan(x)

sec²(x)

7
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d/dx csc(x)

-csc(x)cot(x)

8
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d/dx sec(x)

sec(x)tan(x)

9
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d/dx cot(x)

-csc²(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 csc^-1(x)

-1/(|x| √(x²-1))

14
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d/dx sec^-1(x)

1/(|x| √(x²-1))

15
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d/dx cot^-1(x)

-1/(1+x²)