Help with problem about triple integral

In summary, a new member is seeking help with solving a triple integral from a calculus course using the Jacobian method. They are specifically looking for guidance rather than a complete solution.
  • #1
carrick.ap
2
0
hi all , I am newbie . i need your help ... now I am studying a course about calculus exactly (Jame steward book) . so can u help me how to solve a triple integral by J :
example : ((x/a)^2 + (y/b)^2 + (z/c)^2)^2 = (x/a)^2 + (y/b)^2
Thank in advance :)
p/s : teach me how to do it .. not that guide to the end... i want to do it myself ^^ thank
 
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  • #2
welcome to pf!

hi carrick.ap! welcome to pf! :smile:

(try using the X2 button just above the Reply box :wink:)
carrick.ap said:
… so can u help me how to solve a triple integral by J :
example : ((x/a)2 + (y/b)2 + (z/c)2)2 = (x/a)2 + (y/b)2

i don't understand :redface: …

there's no integral there :confused:​
 
  • #3
compute the volume of the object bounded by ... i mean .. solve it by Jacobian
im tryna do that in future.. just first time dun noe how to write in symbol ==!
 
  • #4
ahh!

ok, can you see a change of coordinates that will make the equation much simpler? :-p
 

FAQ: Help with problem about triple integral

What is a triple integral and how is it different from a regular integral?

A triple integral is an integral that involves three variables and is used to calculate the volume of a three-dimensional shape. It is different from a regular integral because it involves integrating over a three-dimensional region, rather than just a one-dimensional interval.

How do I solve a triple integral?

To solve a triple integral, you must first determine the limits of integration for each of the three variables. Then, you can use the appropriate integration techniques, such as the substitution method or integration by parts, to evaluate the integral.

What are the applications of triple integrals in real life?

Triple integrals have many applications in physics, engineering, and other scientific fields. They can be used to calculate the mass, center of mass, and moments of inertia of three-dimensional objects. They are also commonly used in fluid mechanics to calculate fluid flow and in electromagnetism to calculate electric and magnetic fields.

How does changing the order of integration affect the value of a triple integral?

Changing the order of integration does not affect the value of a triple integral, as long as the limits of integration remain the same. However, changing the order of integration can make it easier to evaluate the integral or can provide different insights into the problem.

What are some common mistakes to avoid when solving a triple integral?

Some common mistakes to avoid when solving a triple integral include forgetting to include the limits of integration, using the wrong integration techniques, and incorrectly setting up the integral based on the given problem. It is also important to carefully evaluate each step of the integral to avoid computational errors.

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