Multiple Integrals

Lesson · Advanced

Calculus

Area and Volume by Integrals

A=\iint_R 1\,dA

V=\iiint_D 1\,dV

Choosing Limits of Integration

\iiint f(x,y,z)\,dz\,dy\,dx

Choose the limits from inside to outside.

z=z(x,y),\qquad y=y(x),\qquad x=\text{constant}