Integration Formulas

∫dx

x + C

∫xⁿdx

(xⁿ⁺¹/n+1) + C

∫dx/x

ln |x| + C

∫e^xdx

e^x + C

∫a^xdx

(a^x/ln a) + C

∫ln x dx

x ln x - x + C

∫sin x dx

-cos x + C

∫cos x dx

sin x + C

∫tan x dx

-ln |cos 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

∫sec²x dx

tan x + C

∫csc²x dx

-cot x + C

∫sec x tan x dx

sec x + C

∫csc x cot x dx

-csc x + C

∫dx/(sq rt a² - x²)

sin^-1(x/a) + C

∫dx/(a² + x²)

(1/a)(tan^-1(x/a)) + C

∫dx/(x)(sq rt x² - a²)

(1/a)(sec^-1(|x|/a) + C