Recent content by Rafa Ariza

it was awesome, really love maths

YESSSS DONE! THANKS MEN AWESOME

##\displaystyle{\int_0^R {r³\over \sqrt{R²-r²}\,}\int_0^{\pi\over 2}{\sin \phi\cos \phi}\ dr\;d\phi}## ?

i edit it

$$R\iint {xy\over \sqrt{R^2-(x^2+y^2)\,}} \ dx dy=\int {r³\over \sqrt {R²-r²\,}} \ dr...$$

so difficult.. i don't know

o-R for x right?

could you write it ?

this way of solve it is so difficult

but ##x²+y²=R²## so ##z= \sqrt{R^2 - (x^2+y^2)\,}=0##

I will try it, thanks!

my problem is to resolve it with surface in this form: G(x,y,z)=x^2+y^2+z^2-R^2=0 the theory is or equivalent or the real problem is in the f(x,y,z(x,y)) or the other equivalent

yes i am interested. here is the resolution by put the sphere in parametric form r(u,v)

Rxy is the projection of S in the plane xy.

here is my problem but in the other form is resolved yet