# What coordinate system is suggested to be used when seeing the integrand (x^{2}+y^{2})^{5/2}, cylindrical or Cartesian?

a) What coordinate system is suggested to be used when seeing the integrand $$\displaystyle{\left({x}^{{{2}}}+{y}^{{{2}}}\right)}^{{\frac{{5}}{{2}}}}$$, cylindrical or Cartesian?
b) List the conversion factors for rectangular to cylindrical coordinate systems.

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Step 1
We determine which coordinate system is used
Step 2
a) $$\displaystyle{\left({x}^{{{2}}}+{y}^{{{2}}}\right)}^{{\frac{{5}}{{2}}}}$$
cylindrical
b) we know that
$$\displaystyle{x}^{{{2}}}+{y}^{{{2}}}=\gamma^{{{2}}}$$
$$\displaystyle{\left({x}^{{{2}}}+{y}^{{{2}}}\right)}^{{\frac{{5}}{{2}}}}={\left(\gamma^{{{2}}}\right)}^{{\frac{{5}}{{2}}}}$$
$$\displaystyle=\gamma^{{{5}}}$$