anonymous
  • anonymous
what would be integration of ∫e^(x+y+z)dx and ∫∫∫e^(x+y+z)dx dy dz ??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Well, you can split that up into e^x+e^y+e^z if that helps to get you started.
anonymous
  • anonymous
Sorry, e^x*e^y*e^z
anonymous
  • anonymous
ya we can split it but it won't create complex problem in solving multiple integration....???

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anonymous
  • anonymous
No, it makes it much easier. Because then you have ʃʃ e^y*e^z ʃe^x dx dy dz.
anonymous
  • anonymous
Do you have no bounds on that triple integral?
anonymous
  • anonymous
no
anonymous
  • anonymous
i mean yes it has no bounds....
anonymous
  • anonymous
It's just gonna end up being e^(x+y+z) in the end after all of the integrating then.
anonymous
  • anonymous
Do you understand why?
anonymous
  • anonymous
no.... why??
anonymous
  • anonymous
because integration of e^x is same.... i guess
anonymous
  • anonymous
Well, the integral of e^x is just e^x. Then after that you'd end up with ʃʃe^x*e^y*e^z dy dz. You'd then change it to ʃe^x*e^zʃe^y dy dz. The integral of e^y is e^y again. You'd repeat the same thing with e^z.
anonymous
  • anonymous
oh ya...... thanks a lot.... i think i got it...
anonymous
  • anonymous
No problem, glad that helped.

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