Integrals

∫1 dx

x + c

∫xⁿ dx; n≠-1

x^(n+1)/(n+1) + c

∫x⁻¹dx

ln(abs(x)) + c

∫e^x dx

e^x + c

∫a^x dx

a^x/(ln a) + c

∫ln x dx

xln x - x + c

∫sin ax dx

-(cos ax)/a + c

∫cos ax dx

(sin ax)/a + c

∫sin²x dx

x/2 - sin2x/4 + c

∫cos²x dx

x/2 + sin2x/4 + c

∫sec²x dx

tan x + c

∫csc²x dx

-cot x + c

∫tan x dx

-ln(abs(cos x)) + c

∫cot x dx

ln(abs(sin x)) + c

∫sec x dx

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

∫csc x dx

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

∫1/√(1-x²) dx

arcsin x + c

∫1/(1+x²) dx

arctan x + c

∫1/(x*√(x²-1)) dx

arcsec x + c