- #1
dtl42
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Homework Statement
Given the integral: [tex]\int_1^2\int_{\frac{3}{\sqrt{x}}}^{\sqrt{3}x}{{(x^2+y^2)}^{\frac{3}{2}}}dy \; dx[/tex]. Convert to polar and evaluate.
Homework Equations
[tex]r=\sqrt{(x^2+y^2)}[/tex]
The Attempt at a Solution
Ok, I've gotten bounds on [tex]\theta[/tex], [tex]\frac{\pi}{6} \le \theta \le \frac{\pi}{3}[/tex]. I'm not sure what the bounds for r should be, otherwise I have the integral:
[tex]\int_\frac{\pi}{6}^\frac{\pi}{3}\int_{?}^{?}{r^3}dr \; d\theta[/tex]