Just some things I need to verify: When finding the x-bar of the function y=x^{3} using the equation: [itex] \bar{x} [/itex] = [itex]\frac{∫\tilde{x}dm}{∫dm}[/itex], Is my [itex]\tilde{x}[/itex] going to be the x distance(which will just be "x") times x^{3}? Also, will x^{3} be in the denominator just before "dm"? The same process is done for the [itex]\tilde{y}[/itex], am I correct? If I am also given a density [itex]\rho[/itex], will that stay in front of each integrand or in front of ([itex]\frac{∫\tilde{x}dm}{∫dm}[/itex])? Is the same process is done for the [itex]\tilde{y}[/itex] or are there differences? Thanks!