- #1
abbot
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Homework Statement
Well, first of all, I'm not english spoken, so sorry for the mistakes.
I was trying to calculate the integral below:
[tex]\int \int \int_{V} (xy+z) dxdydz [/tex]
where V is a region in [tex]R^{3}[/tex] bounded by
the sphere [tex]x^2+y^2+z^2<=9[/tex]
the cone [tex]z^2<=x^2+y^2[/tex]
and the plane [tex]z>=0[/tex]
2. Relevant equations
The Attempt at a Solution
I tried to calculate it with spherical coordinates in that way:
x= r sin(β) cos(α)
y= r sin(β) sin(α)
z= r cos(β)
0<=α<=2π
π/4<=β<=π/2
0<=r<=3
but I'm not sure if that it's correct so can anybody help me?Thanks a lot
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