- #1
Linday12
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Homework Statement
Let D be the triangular domain given by 0[tex]\leq[/tex] y [tex]\leq[/tex]3, (y/3)-1 [tex]\leq[/tex] 1-(y/3). Then
[tex]\int[/tex][tex]\int[/tex] (e-x[tex]^{5}[/tex]e^(sqrt(1+y^2))
Homework Equations
The Attempt at a Solution
There is a quick way to solve it by breaking apart the double integral and then, apparently the x^5 part goes to 0, by symmetry? Anyways, I'm not sure why.
Then I'm left with the double integral of e, and since the domain is just an isosceles triangle, I can multiply the area of it by the e(constant) to get 3e.
So my question is, why does that other part go to zero? I can't visualize it. Knowing this would be a great help. Thank you! (And sorry about the latex, I couldn't quite work it out)