A rod of length L has non-uniform linear mass density given by ρ(x)=a+b(aL)2, where a and b are constants and 0≤x≤L. The value of x for the centre of mass of the rod is at:
A
32(a+b2a+b)L
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B
34(2a+b3a+b)L
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C
43(a+b2a+3b)L
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D
32(2a+b3a+b)L
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