Calc AB Integration Formulas (Anti-Derivatives)

∫kf(u)du

k∫f(u)du

∫du

u+C

∫[f(u)±g(u)]du

∫f(u)du ± ∫g(u)du

∫(u^n)du

[u^(n+1)] / (n+1) +C

To find the integral of ∫(u^n)du, n≠___.

-1

∫du/u

ln|u|+C

∫(e^u)du

(e^u)+C

∫(a^u)du

[1/ln(a)](a^u)+C

∫sin(u)du

-cos(u)+C

∫cos(u)du

sin(u)+C

∫sec²(u)du

tan(u)+C

∫csc²(u)du

-cot(u)+C

∫sec(u)tan(u)du

sec(u)+C

∫csc(u)cot(u)du

-csc(u)+C

∫cot(u)du

ln|sin(u)|+C

∫sec(u)du

ln|sec(u)+tan(u)|+C

∫csc(u)du

-ln|csc(u)+cot(u)|+C

∫du/√(a²-u²)

arcsin(u/a)+C

∫du/u√(u²-a²)

(1/a)arcsec(|u|/a)+C

∫du/(a²+u²)

(1/a)arctan(u/a)+C

∫tan(u)du

-ln|cos(u)|+C