Example: Change
the order of integration for the integral below from dy dz dx
to dy dx dz. See the
figure below.
x = 1 z = 1-x2 y = 1 - x
I = ∫ ∫ ∫ f(x,y,z) dy dz dx
x = 0 z = 0 y = 0
The first step is to
visualize, R, the region of integration and the intersecting surfaces
by using limits of
integration to plot the region.
i.e. y = 1 ˗ x is a plane in the z-direction.
z = 1 ˗ x2 is a surface in
the y˗direction.
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