what would be integration of ∫e^(x+y+z)dx

and ∫∫∫e^(x+y+z)dx dy dz ??

Question

what would be integration of ∫e^(x+y+z)dx

and ∫∫∫e^(x+y+z)dx dy dz ??

anonymous · Answer

Well, you can split that up into e^x+e^y+e^z if that helps to get you started.

anonymous · Answer

Sorry, e^x*e^y*e^z

anonymous · Answer

ya we can split it but it won't create complex problem in solving multiple integration....???

anonymous · Answer

No, it makes it much easier. Because then you have ʃʃ e^y*e^z ʃe^x dx dy dz.

anonymous · Answer

Do you have no bounds on that triple integral?

anonymous · Answer

no

anonymous · Answer

i mean yes it has no bounds....

anonymous · Answer

It's just gonna end up being e^(x+y+z) in the end after all of the integrating then.

anonymous · Answer

Do you understand why?

anonymous · Answer

no.... why??

anonymous · Answer

because integration of e^x is same.... i guess

anonymous · Answer

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 · Answer

oh ya...... thanks a lot....
i think i got it...

anonymous · Answer

No problem, glad that helped.