________
/ x x
20 \/ 1 - E acos(x)*e
- -- - ----------- - -------------
5 ________ ________
x / 2 / x
\/ 1 - x 2*\/ 1 - E
$$- \frac{\sqrt{1 - e^{x}}}{\sqrt{1 - x^{2}}} - \frac{e^{x} \operatorname{acos}{\left(x \right)}}{2 \sqrt{1 - e^{x}}} - \frac{20}{x^{5}}$$
________
x / x x 2*x
100 e x*\/ 1 - e acos(x)*e acos(x)*e
--- + ----------------------- - ------------- - ------------- - -------------
6 ________ ________ 3/2 ________ 3/2
x / 2 / x / 2\ / x / x\
\/ 1 - x *\/ 1 - e \1 - x / 2*\/ 1 - e 4*\1 - e /
$$- \frac{x \sqrt{1 - e^{x}}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{e^{x} \operatorname{acos}{\left(x \right)}}{2 \sqrt{1 - e^{x}}} - \frac{e^{2 x} \operatorname{acos}{\left(x \right)}}{4 \left(1 - e^{x}\right)^{\frac{3}{2}}} + \frac{e^{x}}{\sqrt{1 - x^{2}} \sqrt{1 - e^{x}}} + \frac{100}{x^{6}}$$
________ ________
/ x 2 / x 2*x 3*x x x 2*x x
600 \/ 1 - e 3*x *\/ 1 - e 3*acos(x)*e 3*acos(x)*e acos(x)*e 3*e 3*e 3*x*e
- --- - ----------- - ---------------- - -------------- - -------------- - ------------- + ------------------------- + ------------------------- + -------------------------
7 3/2 5/2 3/2 5/2 ________ ________ ________ ________ 3/2 3/2 ________
x / 2\ / 2\ / x\ / x\ / x / 2 / x / 2 / x\ / 2\ / x
\1 - x / \1 - x / 4*\1 - e / 8*\1 - e / 2*\/ 1 - e 2*\/ 1 - x *\/ 1 - e 4*\/ 1 - x *\1 - e / 2*\1 - x / *\/ 1 - e
$$- \frac{3 x^{2} \sqrt{1 - e^{x}}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{3 x e^{x}}{2 \left(1 - x^{2}\right)^{\frac{3}{2}} \sqrt{1 - e^{x}}} - \frac{e^{x} \operatorname{acos}{\left(x \right)}}{2 \sqrt{1 - e^{x}}} - \frac{3 e^{2 x} \operatorname{acos}{\left(x \right)}}{4 \left(1 - e^{x}\right)^{\frac{3}{2}}} - \frac{3 e^{3 x} \operatorname{acos}{\left(x \right)}}{8 \left(1 - e^{x}\right)^{\frac{5}{2}}} + \frac{3 e^{x}}{2 \sqrt{1 - x^{2}} \sqrt{1 - e^{x}}} + \frac{3 e^{2 x}}{4 \sqrt{1 - x^{2}} \left(1 - e^{x}\right)^{\frac{3}{2}}} - \frac{\sqrt{1 - e^{x}}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{600}{x^{7}}$$