Hello I am struggling to integrate this equation. We studied this last year but I have forgotten how to deal with the constant power.
Any help would be appreciated!
\(\displaystyle \displaystyle V_{av}\, =\, \dfrac{1}{\pi R^2}\, \int_0^R\, U_0\, \left(1\, -\, \dfrac{r}{R}\right)^m\, 2\pi r\, dr\)
Integrate.
\(\displaystyle \displaystyle V_{av}\, =\, U_0\, \dfrac{2}{(1\, +\, m)\, (2\, +\, m)}\)
Any help would be appreciated!
\(\displaystyle \displaystyle V_{av}\, =\, \dfrac{1}{\pi R^2}\, \int_0^R\, U_0\, \left(1\, -\, \dfrac{r}{R}\right)^m\, 2\pi r\, dr\)
Integrate.
\(\displaystyle \displaystyle V_{av}\, =\, U_0\, \dfrac{2}{(1\, +\, m)\, (2\, +\, m)}\)
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