/ / ___\
| ___ |\/ x |
|-\/ x *atan|-----|
| \ 2 /
|------------------- for And(x <= 4, x > -4)
| 2
|
| oo
<____
|\ `
| \ n -n n
| \ (-1) *4 *x
| / ------------ otherwise
| / -1 + 2*n
|/___,
|n = 1
\
$$\begin{cases} - \frac{\sqrt{x} \operatorname{atan}{\left(\frac{\sqrt{x}}{2} \right)}}{2} & \text{for}\: x \leq 4 \wedge x > -4 \\\sum_{n=1}^{\infty} \frac{\left(-1\right)^{n} 4^{- n} x^{n}}{2 n - 1} & \text{otherwise} \end{cases}$$
Piecewise((-sqrt(x)*atan(sqrt(x)/2)/2, (x <= 4)∧(x > -4)), (Sum((-1)^n*4^(-n)*x^n/(-1 + 2*n), (n, 1, oo)), True))