I came across this step in a derivation:$$m\ddot{r}=\frac{L^2}{mr^3} -V'(r)$$(adsbygoogle = window.adsbygoogle || []).push({});

Multiplying by ##\dot{r}## and integrating with respect to t to get $$\frac{1}{2}m\dot{r}^2+\frac{L^2}{2mr^2}+V(r) = C$$

I am not very clear about how the 1st term came to this. Can some one gives a pointer?

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# I Multiplying by dr/dt and integrating with respect to t

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