AP Calc Trig Derivatives and Integrals

Derive sin(x)

cos(x)

Derive tan(x)

sec²(x)

Derive sec(x)

sec(x)tan(x)

Derive cos(x)

-sin(x)

Derive cot(x)

-csc²(x)

Derive csc(x)

-csc(x)cot(x)

∫ tan(x) dx

-ln |cos(x)| + c

∫ sec dx

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

∫ cot(x) dx

ln |sin(x)| + c

∫ csc(x) dx

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

∫ sin(x) dx

-cos(x) + c

∫ sec²(x) dx

tan(x) + c

∫ sec(x)tan(x) dx

sec(x) + c

∫ cos(x) dx

sin(x) + c

∫ csc²(x) dx

-cot(x) + c

∫ csc(x)cot(x) dx

-csc(x) + c