Polar Functions

Area: ½∫R(x)^{2}dx

L'Hôpital's Rule

lim x→∞ f(x)/g(x) = f'(x)/g'(x)

Volumes of Rotation

Disk Method: π∫R(x)^{2}dx

Parametrics and Vectors

dy/dx = (dy/dt) / (dx/dt)

Fund. Theorem of Calculus

F(x)' = f(x)

Integration by Parts

∫u dv =uv−∫v du

Newton's Law of Cooling

ln|y−y_{c}| = kt

Chain Rule

d/dx f(g(x)) = f'(g(x)) × g'(x)