How to integrate this? When dm= 3M/2?R^3 * 2?x^2.dx

Dear student,

Ambiguous query/ query not clear
Your question is not clear and appears to be incomplete.
(To be specific first we have to put the value of dm, and for that we need more information about the shape of object for that you want to calculate centre of mass. So please share the entire question, then just by replacing value of dm in terms of x, we can integrate it.)

Recheck your question and please be a little specific so that we can provide you with some meaningful help. Looking
forward to hear from you again!

Regards,

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