Inverse Trigonometric Derivatives & Integrals

Derivatives
d/dx arcsin(x) = 1 / (1-x²)^1/2
d/dx arccos(x) = -1 / (1-x²)^1/2
d/dx arctan(x) = 1 / (1+x²)

Integrals
S dx/(a²-x²)^1/2 = arcsin (x/a) + C
S dx/a²+x² = (1/a) arctan (x/a) + C
S dx/x(x²-1)^1/2 = arcsec (x) + C