\[ \displaystyle \int_{0}^{\pi} \dfrac{1-\cos x}{x} \, dx \]

If the above integral equals \( V \), find \( \left \lfloor 10^5 V \right \rfloor \).

**NB:** Once you figure out the integral's closed form, perhaps with a bit of research, you can use Wolfram Alpha to help you get the final form.

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