# Calculus 3 : Triple Integration in Cartesian Coordinates

## Example Questions

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Explanation:

Explanation:

Explanation:

Explanation:

### Example Question #473 : Multiple Integration

Integrate:

Explanation:

To integrate, we work from the inside outward.

The first integral is

This becomes the integrand of the next outermost integral, which is

This becomes the integrand of the outermost integral, which is

### Example Question #345 : Triple Integration In Cartesian Coordinates

Evaluate:

Explanation:

To integrate, we work from the inside outwards.

The first integral we perform is

This becomes the integrand for the next integral:

This becomes the integrand for the last integral:

### Example Question #480 : Triple Integrals

Evaluate

Explanation:

First notice the order of integration. We start by integrating with respect to , and we treat  and  as constants.

Expand the integrand and then integrate with respect to  term-by-term:

### Example Question #951 : Calculus 3

Evaluate the following integral

, where

Explanation:

### Example Question #482 : Triple Integrals

Evaluate the following integral

, where