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*Find the exact length of the curve*\(\displaystyle y = \frac{1}{4}x^2 - \frac{1}{2}\ln x\)

\(\displaystyle 1 \le x \le 2\)

Using the formula: \(\displaystyle y = \sqrt{1 + (\frac{dy}{dx})^2} \, dx\)

I obtained this:

\(\displaystyle \int ^2_1 \sqrt{ \frac{1}{2} + \frac{x^2}{4} + \frac{1}{4x^2}}\)

Now my problem is I'm stuck. If I bring the \(\displaystyle \frac{1}{2}\) out I will have a \(\displaystyle \sqrt{\frac{1}{2}}\) which won't really do me any good. Any suggestions?