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Derivative of arctan(x)

Derivative of tan(x)

Integral of tan(x)
-ln |cos(x)| +c
Derivative of sin(x)
cos(x)
Derivative of arcsin(x)

Derivative of cos(x)
-sin(x)
Derivative of arccos(x)

Derivative of sec(x)
sec(x)tan(x)
Derivative of arcsec(x)

Derivative of csc(x)
-csc(x)cot(x)
Derivative of arccsc(x)

Integral of sin(x)
-cos(x) +c
Integral of cos(x)
sin(x) +c
Integral of sec(x)
ln |sec(x) + tan(x)| +c
Integral of csc(x)
-ln |csc(x)cot(x)| +c
Derivative of cot

Derivative of arccot(x)

Integral of cot(x)
ln |sin(x)| +c