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Need triple integral help
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\[\int\limits_{?}^{?}\int\limits_{?}^{?}\int\limits_{E}^{?}x^2e^ydV, where E is bounded by the parabolic cylinder z=1-y^2 and the planes z=0, x=1, and x=-1\]
where E is bounded by the parabolic cylinder z=1-y^2 and the planes z=0, x=1 and x=-1
first integrate with respect to z then put the limits of z so ur integrant will be a function of y,x and integrate with y and lastly x
dV=dxdydz
the limits of y must be given...it is noy there..
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not*
there are no given y parameters, i think you have to assume since it's an cylinder at its base of the parabolic, it would have a circular base. Hence setting z=0, you would obtain y goes from -1 to 1.. but i'm not obtaining the right answer with this method... i think its just my math
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