Visualizing Regions of Integration in 3-D Cartesian Coordinates
Working in Cartesian coordinates x,y, and z, select a volume element dv. (There are six possible choices: dz dy dx, dz dx dy, dx dy dz, dx dz dy, dy dx dz, dy dz dx.)
Enter an integrand and the appropriate bounds of integration.
Compute the value of the integral either exactly or numerically.
Obtain a graph of the 3-D region determined by the limits of integration. The bounding faces for the region of integration are drawn with the following color-coding: ∫yellowgray∫greenbrown∫blueredΨ ⅆv.
Evaluate ∭RΨx,y,z dv and Graph R
Volume Element dv
Select dvdz dy dxdz dx dydx dy dzdx dz dydy dx dzdy dz dx
, where Ψ=
Related Task Templates
Multivariate Calculus > Integration > Multiple Integration > Cartesian 3-D
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