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# Charge is distributed along the x-axis from $x = 0 \;to\; x = L = 50.0\; cm$ in such a way that its linear charge density is given by $\lambda = ax^2,$ where $a = 18.0 \mu C m^{-3}$. Calculate the total charge in the region $0 \leq x \leq L$.

Total charge in the region $= 0.75 \;\mu C$