\[ \int \frac {1}{\log (c (d+e x))} \, dx \]
Optimal antiderivative \[ \frac {\logarithmicIntegral \left (c \left (e x +d \right )\right )}{c e} \]
command
int(1/ln(c*(e*x+d)),x,method=_RETURNVERBOSE)
Maple 2022.1 output
| method | result | size |
| derivativedivides | \(-\frac {\expIntegral \left (1, -\ln \left (c e x +c d \right )\right )}{c e}\) | \(22\) |
| default | \(-\frac {\expIntegral \left (1, -\ln \left (c e x +c d \right )\right )}{c e}\) | \(22\) |
| risch | \(-\frac {\expIntegral \left (1, -\ln \left (c e x +c d \right )\right )}{c e}\) | \(22\) |
Maple 2021.1 output
\[ \text {hanged} \]________________________________________________________________________________________