// -log(13 - 4*x) \ // -log(13 - 4*x) \
|| --------------- for And(x >= 11/4, x < 13/4)| || --------------- for And(x >= 11/4, x < 13/4)|
|| 4*(-3 + x) | || 4*(-3 + x) |
|| | || |
|| oo | || oo |
||____ | ||____ |
- 12*|<\ ` | + 4*x*|<\ ` |
|| \ n n | || \ n n |
|| \ 4 *(-3 + x) | || \ 4 *(-3 + x) |
|| / ------------ otherwise | || / ------------ otherwise |
|| / 1 + n | || / 1 + n |
||/___, | ||/___, |
\\n = 0 / \\n = 0 /
$$4 x \left(\begin{cases} - \frac{\log{\left(13 - 4 x \right)}}{4 \left(x - 3\right)} & \text{for}\: x \geq \frac{11}{4} \wedge x < \frac{13}{4} \\\sum_{n=0}^{\infty} \frac{4^{n} \left(x - 3\right)^{n}}{n + 1} & \text{otherwise} \end{cases}\right) - 12 \left(\begin{cases} - \frac{\log{\left(13 - 4 x \right)}}{4 \left(x - 3\right)} & \text{for}\: x \geq \frac{11}{4} \wedge x < \frac{13}{4} \\\sum_{n=0}^{\infty} \frac{4^{n} \left(x - 3\right)^{n}}{n + 1} & \text{otherwise} \end{cases}\right)$$
-12*Piecewise((-log(13 - 4*x)/(4*(-3 + x)), (x >= 11/4)∧(x < 13/4)), (Sum(4^n*(-3 + x)^n/(1 + n), (n, 0, oo)), True)) + 4*x*Piecewise((-log(13 - 4*x)/(4*(-3 + x)), (x >= 11/4)∧(x < 13/4)), (Sum(4^n*(-3 + x)^n/(1 + n), (n, 0, oo)), True))