derivative and integral formulas (copy)

∫ sin x dx =

-cos x + C

∫ cos x dx

sin x + C

∫ sec^2 x dx

tan x + C

∫ sec x tan x dx

sec x + C

∫ csc x cot x dx

-csc x + C

∫ csc^2 x dx

-cot x + C

∫ 1/x dx

ln |x| + C

∫ a^x dx

(1/ln a) a^x + C

∫ 1/ sqrt(1-x^2) dx

sin^-1 x + C or arcsin x + C

∫ 1/(1 + x^2) dx

tan^-1 x + Cor arctan x + C

∫ 1/ (x sqrt(x^2 -1)) dx

sec^-1 x + C or arcsec x + C

d/dx (ln x) =

1/x

d/dx (a^x) =

a^x ln a

d/dx (sin x) =

cos x

d/dx (cos x) =

\-sin x

d/dx (tan x) =

sec^2 x

d/dx (sec x) =

sec x tan x

d/dx (csc x) =

\-csc x cot x

d/dx (cot x) =

\-csc^2 x

d/dx (sin-1 x) =

1/ sqrt(1-x^2)

d/dx (cos-1 x) =

\-1 / sqrt(1 - x^2)

d/dx (tan-1 x) =

1/ (1 + x^2)

d/dx (sec-1 x) =

1/ \[/x/ sqrt(x^2 - 1)\]

d/dx (csc-1 x) =

\-1/ \[/x/ sqrt(x^2 -1)\]

d/dx (cot-1 x) =

-1/ (1 + x^2)

∫ secxdx =

ln /secx + tanx/ + C

∫ cscxdx =

\-ln /cscx + cotx/ + C

∫ tanxdx =

ln /secx/ + C

\frac{\mathrm{d} }{\mathrm{d} x} (sin(u))