University Mathematics Handbook (2015)

VIII. Integral Calculus of Multivariable Functions

Chapter 4. Change of Variables in Double Integrals

a.  Let , , be a system of continuous functions belonging to class and mapping domain to domain with one-to-one correspondence, and the Jacobian (see V.9).

is different from zero at , then

b.  Transformation to Polar Coordinates

, , ,