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pi-2-pi-2-0-R-d-dr-a-rcos-r-2-a-2-2arcos-3-2-f-a-R-Find-f-a-R-




Question Number 213934 by ajfour last updated on 22/Nov/24
∫_(−π/2) ^( π/2) ∫_0 ^( R) (((dθ)(dr)(a+rcos θ))/((r^2 +a^2 +2arcos θ)^(3/2) )) =f(a,R)  Find f(a, R).
$$\int_{−\pi/\mathrm{2}} ^{\:\pi/\mathrm{2}} \int_{\mathrm{0}} ^{\:{R}} \frac{\left({d}\theta\right)\left({dr}\right)\left({a}+{r}\mathrm{cos}\:\theta\right)}{\left({r}^{\mathrm{2}} +{a}^{\mathrm{2}} +\mathrm{2}{ar}\mathrm{cos}\:\theta\right)^{\mathrm{3}/\mathrm{2}} }\:={f}\left({a},{R}\right) \\ $$$${Find}\:{f}\left({a},\:{R}\right). \\ $$
Commented by ajfour last updated on 23/Nov/24
Its correctly written.
$${Its}\:{correctly}\:{written}. \\ $$
Commented by ajfour last updated on 23/Nov/24
please someone look into this too!
$${please}\:{someone}\:{look}\:{into}\:{this}\:{too}! \\ $$
Commented by BHOOPENDRA last updated on 23/Nov/24
(a+rcosθ) or (r+acosθ) check once  please
$$\left({a}+{rcos}\theta\right)\:{or}\:\left({r}+{acos}\theta\right)\:{check}\:{once} \\ $$$${please}\: \\ $$

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