trig integrals and derivatives to remember

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Last updated 5:16 PM on 9/27/26
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10 Terms

1
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∫ tan(x) dx

ln|sec(x)| + C

2
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∫ sec(x) dx

ln|sec(x) + tan(x)| + C

3
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∫ cot(x) dx

ln|sin(x)| + C

4
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∫ csc(x) dx

ln|csc(x) - cot(x)| + C

5
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d/dx [arcsin(x)]

1/√(1 - x²)

6
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d/dx [arccos(x)]

-1/√(1 - x²)

7
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d/dx [arctan(x)]

1/(1 + x²)

8
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d/dx [arccsc(x)]

-1/(x√(x² - 1))

9
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d/dx [arcsec(x)]

1/(x√(x² - 1))

10
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d/dx [arccot(x)]

-1/(1 + x²)