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#2: Post edited
- Let I have a function which is looking like this
- $$f=\int\frac{l \ \mathrm {dt}}{\dot{\theta}r\dot{r}}$$
Here $\dot{\theta}$, $r$, $\dot{r}$ and $l$ all of them are function of $t$. For differentiating respect to time I simply increase "dot". But what to do for integration? Should I consider them as constant?
- Let I have a function which is looking like this
- $$f=\int\frac{l \ \mathrm {dt}}{\dot{\theta}r\dot{r}}$$
- Here $\dot{\theta}$, $r$, $\dot{r}$ and $l$ all of them are function of $t$. For differentiating respect to time I simply increase "dot". But what to do for integration? Should I consider them as constant?
- What will happen if I forcefully say that $r$ isn't constant? $r$ is changing every single sec.
#1: Initial revision
What to do when there's lot of function of time? (For integration) Should I consider them as constant?
Let I have a function which is looking like this $$f=\int\frac{l \ \mathrm {dt}}{\dot{\theta}r\dot{r}}$$ Here $\dot{\theta}$, $r$, $\dot{r}$ and $l$ all of them are function of $t$. For differentiating respect to time I simply increase "dot". But what to do for integration? Should I consider them as constant?