Is this integral using change of variables technique correct? • Physics Forums

WMDhamnekar · 2022-06-04T17:30:26+00:00

Is the answer given above correct?

Thread 'How does time derivative commute from one variable to another?'

I'm reviewing Meirovitch's "Methods of Analytical Dynamics," and I don't understand the commutation of the derivative from r to dr: $$ \mathbf{F} \cdot d\mathbf{r} = m \ddot{\mathbf{r}} \cdot d\mathbf{r} = m\mathbf{\dot{r}} \cdot d\mathbf{\dot{r}} $$

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I Is this integral using change of variables technique correct?

Thread 'How does time derivative commute from one variable to another?'

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