Calculus problem #63066

Calculus Level 1

Let LL be the length of the curve y=14x212lnx\displaystyle{y = \frac{1}{4}{x}^2 - \frac{1}{2} \ln x } for 4x8.4 \leq x \leq 8. If L=a+12lnb,L = a+\frac{1}{2}\ln{b} , where aa and bb are positive integers, what is the value of a+b?a+b?

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