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## Homework Statement

Evaluate

$$\int_ \ \sqrt[2]{9-x^{2}} \, \mathrm{d} x.$$

## Homework Equations

U substitution

Integration by parts

## The Attempt at a Solution

My teacher said it wasn't possible "by hand", but Wolframalpha provided a step-by-step solution. I'm clueless as to how wolfram came up with the substitutions/steps and how a mere mortal as myself could possibly be expected to do the same. If you could walk me through the logic behind the steps that wolfram provides, I would greatly appreciate it. I'm really just curious about the process as I just can't seem to wrap my head around it.

Wolfram's steps: http://www.wolframalpha.com/widgets/view.jsp?id=dc816cd78d306d7bda61f6facf5f17f7

Thanks!

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