## nice 5 years ago how to rewrite a triple integral after changing limits ? ( from dxdzdy to dydxdz ) I have the question ...

1. nice

second question in the attached file

2. anonymous

What is all that writing on the problem. Is that your attempt and you want us to check if it is right?

3. nice

no no it's the right answer, but I don't understand how !

4. nice

I need explanation ,, my exam is tomorrow :S :S :S

5. amistre64

1 or 2? or both?

6. nice

2 only ,,

7. amistre64

its all about translating what you got into a new direction to match the switch

8. nice

is there any strategy to get the right answer ?

9. amistre64

well, the outer one is a constant; moves from zero to it high point for starters; z = [0,4] $\int_{0}^{4}dz$

10. amistre64

the middle should be in terms of the outer... so it gets a z spot right?

11. nice

I think that I have always to draw ,, I think it's the only way !! but I was hopping to find simpler way ..

12. amistre64

simpler? maybe, but i tend to only now the hard way lol

13. nice

what are you studying ?

14. amistre64

whatever I can get my hands on :)

15. nice

yeah I mean simpler than drawing the graph

16. amistre64

ive taught myself all this stuff; and as i go thru the college courses I learn ways that i was to stupid to pick up on me own

17. nice

aha!! I'm suffering from my doctor in calculus this course, and I'm lost! So NOW I learned that I have to be independent specially on college,, right ?

18. nice

in college *

19. amistre64

dxdzdy dydxdz -------- -------- x: 4-2y-z y: (4-x-z)/2 x: 0 y: 0 z: 4-2y x: 4-z z: 0 x: 0 y: 2 z: 4 y: 0 z: 0 the first is a translation from point to plane x = 4-2y-z <=> y = (4-x-z)/2

20. amistre64

the second is a translation from the seems to keep the inner one ignored x = 4-2y-z (ignore the -2y from the inner) x=4-z

21. amistre64

same with the last? ignore the inners as 0? z = 4 -x translates to z=4

22. amistre64

but thats just a cursory view and i aint got nuthin to prove its a general rule

23. amistre64

maybe if we get some smarter than mes to verify or deny it :)

24. amistre64

see if it works on double integrals maybe....

25. nice

Thanks allot! I will see ...