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Derivative of e^x
e^x
Derivative of b^x
b^x * ln(b)
Derivative of ln(x)
1/x
Derivative of log_b(x)
1 / (x * ln(b))
Derivative of sin(x)
cos(x)
Derivative of cos(x)
-sin(x)
Derivative of tan(x)
sec^2(x)
Derivative of cot(x)
-csc^2(x)
Derivative of sec(x)
sec(x) * tan(x)
Derivative of csc(x)
-csc(x) * cot(x)
Integral of e^x
e^x + C
Integral of b^x
b^x / ln(b) + C
Integral of ln(x)
x * (ln(x) - 1) + C
Integral of log_b(x)
(x / ln(b)) * (ln(x) - 1) + C
Integral of sin(x)
-cos(x) + C
Integral of cos(x)
sin(x) + C
Integral of tan(x)
ln|sec(x)| + C
Integral of cot(x)
ln|sin(x)| + C [or -ln|csc(x)| + C]
Integral of sec(x)
ln|sec(x) + tan(x)| + C
Integral of csc(x)
ln|csc(x) - cot(x)| + C