Posts tagged multiple integration
Using a double integral to find the volume of an object

We already know that we can use double integrals to find the volume below a function over some region given by R=[a,b]x[c,d]. We use the double integral formula V=int int_D f(x,y) dA to find volume, where D represents the region over which we’re integrating, and f(x,y) is the curve below which we want to find volume.

Read More
Jacobian in three variables to change variables

Given a region defined in uvw-space, we can use a Jacobian transformation to redefine it in xyz-space, or vice versa. We’ll use a 3x3 determinant formula to calculate the Jacobian.

Read More