AP Calculus AB: Integration

∫ 0dx =

C

∫ kdx =

kx + C

∫ xⁿ dx =

( (xn +1 )/ n +1 )+ C

∫ 1/x dx =

ln|x| + C

∫ e^x dx =

e^x + C

∫ a^x dx =

(a^x/ ln a) + C

∫ cos x dx =

sin x + C

∫ sinx dx =

-cos x + C

∫ sec² x dx =

tan x + C

csc²x dx =

-cot x + C

∫ secx tanx dx =

sec x + C

∫ csc x cot x dx =

-csc x + C

∫ (1/√1-x²) dx =

sin^-1 x+ C

∫ (1/1+x²) dx =

tan^-1x + C

∫ (1/x√x² -1) dx =

sec^-1|x| + C

∫ tanx dx =

-ln |cos x| + C

∫ cot x dx =

ln |sin x| + C