A bar with length 50 cm has linear density @=6x+12 where x is in meters and @ is in kg/m . .What is the center of mass of this bar?

pls help.....iam taking limit as -L/2 to +L/2.......where am I going wrong.....this is problem from skills...it says wrong whenever i solve it

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TopNewesti'm getting 7/27. limits should be 0 and 0.5 the way I did it. i'm not too sure about the calculation part though

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