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