\[ -\frac{1}{12} \int_{-4.2}^{1.8 - 12 \cdot \omega_{S1}} \frac{du}{u} = -\frac{1}{12} \left[ \ln|u| \right]{-4.2}^{1.8 - 12 \cdot \omega{S1}} \]
Mathbot Says...
I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.