INTEGRALES QUE CONTIENEN LA RAIZ CUADRADA DE a2-x2

$\displaystyle \int\displaystyle \frac{dx}{\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}=\sin^{\displaystyle-1}\displaystyle \frac{x}{a}$
 
$\displaystyle \int\displaystyle \frac{x\,dx}{\displaystyle \sqrt{a^{\displaysty...

...^{\displaystyle2}}}=-\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}$
 
$\displaystyle \int\displaystyle \frac{x^{\displaystyle2}\,dx}{\displaystyle \sq...

...yle \frac{a^{\displaystyle2}}{2}\sin^{\displaystyle-1}\displaystyle \frac{x}{a}$
$\displaystyle \int\displaystyle \frac{x^{\displaystyle3}\,dx}{\displaystyle \sq...

...-\;a^{\displaystyle2}\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}$
 
$\displaystyle \int\displaystyle \frac{dx}{x\displaystyle \sqrt{a^{\displaystyle...

...e \frac{a+\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}{x}\right)$
 
$\displaystyle \int\displaystyle \frac{dx}{x^{\displaystyle2}\displaystyle \sqrt...

...displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}{a^{\displaystyle2}x}$
 
$\displaystyle \int\displaystyle \frac{dx}{x^{\displaystyle3}\displaystyle \sqrt...

...e \frac{a+\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}{x}\right)$
 
$\displaystyle \int\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}\,d...

...yle \frac{a^{\displaystyle2}}{2}\sin^{\displaystyle-1}\displaystyle \frac{x}{a}$
 
. $\displaystyle \int x\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}\...

...splaystyle \frac{(a^{\displaystyle2}-x^{\displaystyle2})^{\displaystyle3/2}}{3}$
 
. $\displaystyle \int x^{\displaystyle2}\displaystyle \sqrt{a^{\displaystyle2}-x^{...

...yle \frac{a^{\displaystyle4}}{8}\sin^{\displaystyle-1}\displaystyle \frac{x}{a}$
 
$\displaystyle \int x^{\displaystyle3}\displaystyle \sqrt{a^{\displaystyle2}-x^{...

...^{\displaystyle2}(a^{\displaystyle2}-x^{\displaystyle2})^{\displaystyle3/2}}{3}$
 
$\displaystyle \int\displaystyle \frac{\displaystyle \sqrt{a^{\displaystyle2}-x^...

...e \frac{a+\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}{x}\right)$
 
$\displaystyle \int\displaystyle \frac{\displaystyle \sqrt{a^{\displaystyle2}-x^...

...style2}-x^{\displaystyle2}}}{x}-\sin^{\displaystyle-1}\displaystyle \frac{x}{a}$
 
$\displaystyle \int\displaystyle \frac{\displaystyle \sqrt{a^{\displaystyle2}-x^...

...e \frac{a+\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}{x}\right)$
 
$\displaystyle \int\displaystyle \frac{dx}{(a^{\displaystyle2}-x^{\displaystyle2...

...}{a^{\displaystyle2}\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}$
 
$\displaystyle \int\displaystyle \frac{x\,dx}{(a^{\displaystyle2}-x^{\displaysty...

...splaystyle \frac{1}{\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}$
 
$\displaystyle \int\displaystyle \frac{x^{\displaystyle2}\,dx}{(a^{\displaystyle...

...laystyle2}-x^{\displaystyle2}}}-\sin^{\displaystyle-1}\displaystyle \frac{x}{a}$
 
$\displaystyle \int\displaystyle \frac{x^{\displaystyle3}\,dx}{(a^{\displaystyle...

...a^{\displaystyle2}}{\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}$
$\displaystyle \int\displaystyle \frac{dx}{x(a^{\displaystyle2}-x^{\displaystyle...

...e \frac{a+\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}{x}\right)$
 
$\displaystyle \int\displaystyle \frac{dx}{x^{\displaystyle2}(a^{\displaystyle2}...

...}{a^{\displaystyle4}\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}$
 
$\displaystyle \int\displaystyle \frac{dx}{x^{\displaystyle3}(a^{\displaystyle2}...

...e \frac{a+\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}{x}\right)$
$\displaystyle \int(a^{\displaystyle2}-x^{\displaystyle2})^{\displaystyle3/2}\,d...

...le \frac{3}{8}a^{\displaystyle4}\sin^{\displaystyle-1}\displaystyle \frac{x}{a}$
 
$\displaystyle \int x(a^{\displaystyle2}-x^{\displaystyle2})^{\displaystyle3/2}\...

...splaystyle \frac{(a^{\displaystyle2}-x^{\displaystyle2})^{\displaystyle3/2}}{5}$
 
 
$\displaystyle \int x^{\displaystyle3}(a^{\displaystyle2}-x^{\displaystyle2})^{\...

...^{\displaystyle2}(a^{\displaystyle2}-x^{\displaystyle2})^{\displaystyle5/2}}{5}$
 
$\displaystyle \int\displaystyle \frac{(a^{\displaystyle2}-x^{\displaystyle2})^{...

...e \frac{a+\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}{x}\right)$
 
$\displaystyle \int\displaystyle \frac{(a^{\displaystyle2}-x^{\displaystyle2})^{...

...le \frac{3}{2}a^{\displaystyle2}\sin^{\displaystyle-1}\displaystyle \frac{x}{a}$
$\displaystyle \int\displaystyle \frac{(a^{\displaystyle2}-x^{\displaystyle2})^{...

...e \frac{a+\displaystyle \sqrt{a^{\displaystyle2}-x^{\displaystyle2}}}{x}\right)$