Question: 3d plot spherical coordinates

I'm trying to create an ellipsoid using spherical coordinates.

 
                   "x^2 + y^2/4 + z^2/9 = 1" how can I enter this?

This is what I have , but shape show up really crazy

plot3d([cos(theta)*sin(phi),sin(theta)*sin(phi),cos(phi)],theta=0..2*Pi,phi=0..Pi,scaling=constrained,axes=boxed);

Thanks

[An edited and reposted version of this Question, which has subsequently been deleted, specifically asked that the plot be done by making a small adjustment to Maple's spherical coordinates. The deleted version also named the ellipsoid E, a detail which is important for understanding correctly the OP's subsequent integration Question. --Carl Love acting as a Moderator]

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