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Unknown integral identity in derivation of first Maxwell equation

Reference: "Theoretische Physik" (2015) by Bartelsmann and others, page 391, equation (11.23). While deriving the first Maxwell equation based on Coulomb's law, the authors are using the ...
1 vote
1 answer
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Why do we use a calculus based approach for calculating the work done when a charge moves a certain distance in a system of two charges?

Let's take into consideration a system of two charges, with magnitudes $q_1$ and $q_2$.Let's assume that the charge with magnitude $q_1$ is placed at the point $A$ and also assume that a point $B$ is ...