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I just whant to know what mathematical rule alows me to do this? I mean i think it is u-substitution, but i am not sure how it is done here? It is weird to me as it seems that ##dt## just cancel out and limits are changed...

$$

\int\limits_{0}^{t} \frac{dv}{dt} \cdot mv \gamma(v)\, dt = \int\limits_{0}^{v} mv \gamma(v)\, dv

$$

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# Integral and a derivative definition

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