[SPLIT] Changing order of int.: [0,1][0,1-x^2][0,x+y]dzdydx

Trenters4325

Junior Member
Joined
Apr 8, 2006
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Thank you for your help on my previous post. Here's a harder one.

\(\displaystyle \int\limits_0^1 \,{\int\limits_0^{1\, -\, x^2 } \,{\int\limits_0^{x\, +\, y}\, {dz\, dy\, dx} } }\)

Solving for y is only the first of many things you need to do. I drew out all the traces and then tried to figure out the boundaries and the limits in my head (it took forever). Is there a quicker?
 
What is the question?
This is a very easy and straightforward integral.
Why would you want to change the order of intergration?
The numerical answer is 0.5166666667.
 
Trenters4325 said:
It asks you to change the order, not solve it.
"Change the order" in which way?

Please reply with the complete instructions. Thank you.

Eliz.
 
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