The density of a non - uniform rod of length 1 m is given by `lambda (x)=p(1+q x^(2))` where p and q are constants and `0 le x le 1`. The centre of mass of the rod will be at ………

Options

A. `(3)/(4)[(2+q)/(3+q)]`
B. `(4)/(3)[(2+q)/(3+q)]`
C. `(3)/(4)[(3+q)/(2+q)]`
D. `(4)/(3)[(3+q)/(2+q)]`

Answer

A