(a). Show that (r)/r = (r) when it appears as part of the integrand of...
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(a). Show that δ(r)/r = −δ’ (r) when it appears as part of the integrand of a three-dimensional integral in spherical coordinates. Convince yourself that the test function ∫ (r) does not provide any information. Then try ∫ (r)/r.
(b). Show that ∇ · [δ(r − a)ˆr] = (a2/r2)δ’ (r − a) when it appears as part of the integrand of a three dimensional integral in spherical coordinates.
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