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