Całka z funkcji dx/sqrt(3-2x-x^2) od -∞ do ∞

$f(d, x) =$ $\dfrac{dx}{\sqrt{-{x}^{2}-2x+3}}$
Note: Your input has been rewritten/simplified.

$\displaystyle\int{f(d, x)}\, \mathrm{d}x =$ $d{\cdot}\left(\arcsin\left(\dfrac{-2x-2}{4}\right)-\sqrt{-{x}^{2}-2x+3}\right)+{C}^{\color{#a0a0a0}{\href{http://en.wikipedia.org/wiki/Constant_of_integration}{\mathrm{?}}}}$

$f(d, x) =$	$\dfrac{dx}{\sqrt{-{x}^{2}-2x+3}}$ Note: Your input has been rewritten/simplified.
$\displaystyle\int{f(d, x)}\, \mathrm{d}x =$	$d{\cdot}\left(\arcsin\left(\dfrac{-2x-2}{4}\right)-\sqrt{-{x}^{2}-2x+3}\right)+{C}^{\color{#a0a0a0}{\href{http://en.wikipedia.org/wiki/Constant_of_integration}{\mathrm{?}}}}$