# A calculus problem by Liam Milliken

Calculus Level pending

Say that we have a function $$f(\chi) = Re(-ln(\chi)+\frac{|\chi|}{-ln(\chi)})$$. The solid of revolution given by rotating $$(\kappa \cdot f)(\chi)$$ about the $$\chi$$ axis between $$-5$$ and $$-e^3 \approx \pi \cdot 439.862$$. What is $$\kappa$$?

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