Triple Integral: Cone Example

​
order of integration
hide limits
your position
your view
z
position
z
view
∫
∫
∫
f ______
z=0
4
2
x
-
2
y
+
2
z
=0
x=0
y=4
x=2
y=2x
Explore the solid defining the boundaries of the region for a triple integral. Change the camera position and the direction of view in three dimensions. Practice setting up the limits of integration using all six orders of integration.

Details

Integral adapted from Larson[1, Section 14.6, Exercise 16].

References

[1] R. E. Larson et al, Calculus with Analytic Geometry, 5th ed., Lexington, MA: D. C. Heath and Company, 1994.

External Links

Triple Integral (Wolfram MathWorld)
Integral (Wolfram MathWorld)
ViewVector (Wolfram Documentation Center)

Permanent Citation

Abby Brown
​
​"Triple Integral: Cone Example"​
​http://demonstrations.wolfram.com/TripleIntegralConeExample/​
​Wolfram Demonstrations Project​
​Published: June 3, 2013