Calculus 3 : Triple Integrals

Study concepts, example questions & explanations for Calculus 3

varsity tutors app store varsity tutors android store

Example Questions

Example Question #198 : Triple Integration In Cartesian Coordinates

Possible Answers:

Correct answer:

Explanation:

Example Question #199 : Triple Integration In Cartesian Coordinates

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Evaluate  first.

Substitute this back and evaluate .

Substitute this value and evaluate the last integral .

The answer is:  

Example Question #192 : Triple Integration In Cartesian Coordinates

Evaluate the following integral over the volume V which is enclosed by a cube of side length 2 in the first octant, with one corner on the origin.

Possible Answers:

Correct answer:

Explanation:

The description of the cube requires: 0<x<2, 0<y<2, and 0<z<2.  The integral becomes:

To solve this integral:

Example Question #201 : Triple Integration In Cartesian Coordinates

Possible Answers:

Correct answer:

Explanation:

Example Question #332 : Triple Integrals

Possible Answers:

Correct answer:

Explanation:

Example Question #202 : Triple Integration In Cartesian Coordinates

Possible Answers:

Correct answer:

Explanation:

Example Question #201 : Triple Integration In Cartesian Coordinates

Possible Answers:

Correct answer:

Explanation:

Example Question #331 : Multiple Integration

Possible Answers:

Correct answer:

Explanation:

Example Question #336 : Triple Integrals

Possible Answers:

Correct answer:

Explanation:

Example Question #332 : Multiple Integration

Possible Answers:

Correct answer:

Explanation:

Learning Tools by Varsity Tutors