Segments in this Video

Approximating Triple Integrals (01:07)


The midpoint rule is a way of approximating a triple integral.

X, Y, Z Coordinate Systems (04:09)

We can use a coordinate system to visualize a box with its vertex at the origin, and then we can use that coordinate system to divide the box into eight equally sized sub boxes.

The Midpoint Rule Formula (03:12)

The midpoint rule approximation says that the value of this integral is approximately equal to delta v, multiplied by the value of the function evaluated at each of the midpoint of the eight sub boxes.

Simplifying The Approximation (02:25)

We can approximate the value of a triple integral over a region by using the midpoint rule and dividing the region into sub boxes. We find the volume of one of the sub boxes, find the midpoint of each sub box, and then plug each midpoint into the integral we're trying to calculate.

Credits (00:00)


For additional digital leasing and purchase options contact a media consultant at 800-257-5126
(press option 3) or

Midpoint rule for triple integrals

Part of the Series : Integral Calc: Calculus 3
3-Year Streaming Price: $49.95



This video tutorial works through math problems/equations that address topics in Calculus 3, Multiple Integrals. This specific tutorial addresses Midpoint rule for triple integrals.

Length: 11 minutes

Item#: BVL275728

Copyright date: ©2013

Closed Captioned

Performance Rights

Prices include public performance rights.

Not available to Home Video, Dealer and Publisher customers.