Derivatives and Integrals of Trigonometric Functions

d/dx sin x

cos x

d/dx cos x

-sin x

d/dx tan x

sec² x

d/dx cot x

-csc² x

d/dx sec x

sec x tan x

d/dx csc x

-csc x cot x

∫cos x dx

sin x + C

∫sin x dx

-cos x + C

∫sec²x dx

tan x + C

∫csc² x dx

-cot x + C

∫(sec x tan x) dx

sec x + C

∫(csc x cotx) dx

-csc x + C

∫tan x dx

ln|sec x| + C

∫cot x dx

ln|sin x| + C

∫sec x dx

ln|sec x + tan x| + C

∫csc x dx

-ln|csc x + cot x| + C

d/dx log a u

1/u ln a du/dx

d/dx a^u

a^u(ln a) du/dx