Integrals

C

∫0dx =

kx + C

∫kdx =

x^n+1 / n+1 + C

∫(x^n)dx

lnIxI + C

∫(1/x)dx

e^x + C

∫e^x dx

a^x/ln a + C

∫a^xdx

sinx + C

∫cos xdx

-cosx + C

∫sin xdx

tan x + C

∫sec^2 xdx

- cotx + C

∫csc^2 xdx =

sec x + C

∫sec x tan xdx =

-csc x + C

∫csc x cot xdx =

arcsin(x/a) + C

∫dx/√(a^2-x^2)

1/a arctan x/a + C

∫dx/(a^2+x^2)

x

e^ln x =

x

ln e^x =

0

ln 1 =

1

ln e =

e^0

1

ln 0

infinity