_________ 2
/ 2 2 a x
\/ a + x + -------------- + ------------
________ _________
/ 2 / 2 2
/ x \/ a + x
/ 1 - --
/ 2
\/ a
$$\frac{a}{\sqrt{1 - \frac{x^{2}}{a^{2}}}} + \frac{x^{2}}{\sqrt{a^{2} + x^{2}}} + \sqrt{a^{2} + x^{2}}$$
/ 2 \
| 3 1 x |
x*|------------ + ------------- - ------------|
| _________ 3/2 3/2|
| / 2 2 / 2\ / 2 2\ |
|\/ a + x | x | \a + x / |
| a*|1 - --| |
| | 2| |
\ \ a / /
$$x \left(- \frac{x^{2}}{\left(a^{2} + x^{2}\right)^{\frac{3}{2}}} + \frac{3}{\sqrt{a^{2} + x^{2}}} + \frac{1}{a \left(1 - \frac{x^{2}}{a^{2}}\right)^{\frac{3}{2}}}\right)$$
2 4 2
3 1 6*x 3*x 3*x
------------ + ------------- - ------------ + ------------ + --------------
_________ 3/2 3/2 5/2 5/2
/ 2 2 / 2\ / 2 2\ / 2 2\ / 2\
\/ a + x | x | \a + x / \a + x / 3 | x |
a*|1 - --| a *|1 - --|
| 2| | 2|
\ a / \ a /
$$\frac{3 x^{4}}{\left(a^{2} + x^{2}\right)^{\frac{5}{2}}} - \frac{6 x^{2}}{\left(a^{2} + x^{2}\right)^{\frac{3}{2}}} + \frac{3}{\sqrt{a^{2} + x^{2}}} + \frac{1}{a \left(1 - \frac{x^{2}}{a^{2}}\right)^{\frac{3}{2}}} + \frac{3 x^{2}}{a^{3} \left(1 - \frac{x^{2}}{a^{2}}\right)^{\frac{5}{2}}}$$