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[tex]r_{CM}= \frac{1}{M} \int r dm[/tex]

I'm not sure I understand this expression. What exactly is dm? and I thought it was the sumation of mass times distance divided by the total mass...

[tex] \frac{m_1x_1+m_2x_2+...}{m_1+m_2+...}[/tex]

that is the integral of r wrt dm?