Derivatives + Integrals Basic Trig

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Last updated 4:51 AM on 8/21/26
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20 Terms

1
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Derivative of e^x

e^x

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Derivative of b^x

b^x * ln(b)

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Derivative of ln(x)

1/x

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Derivative of log_b(x)

1 / (x * ln(b))

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Derivative of sin(x)

cos(x)

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Derivative of cos(x)

-sin(x)

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Derivative of tan(x)

sec^2(x)

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Derivative of cot(x)

-csc^2(x)

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Derivative of sec(x)

sec(x) * tan(x)

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Derivative of csc(x)

-csc(x) * cot(x)

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Integral of e^x

e^x + C

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Integral of b^x

b^x / ln(b) + C

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Integral of ln(x)

x * (ln(x) - 1) + C

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Integral of log_b(x)

(x / ln(b)) * (ln(x) - 1) + C

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Integral of sin(x)

-cos(x) + C

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Integral of cos(x)

sin(x) + C

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Integral of tan(x)

ln|sec(x)| + C

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Integral of cot(x)

ln|sin(x)| + C [or -ln|csc(x)| + C]

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Integral of sec(x)

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

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Integral of csc(x)

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