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[tex]\boxed{\sf C=\dfrac{Q}{V}}[/tex]
But
[tex]\boxed{\sf \Delta V_{R_2\to R_1}={\displaystyle{\int}^{R_1}_{R_2}}dV=-{\displaystyle{\int}^{R_1}_{R_2}}\dfrac{kQ}{r^2}dR}[/tex]