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Calculus and Beyond Homework Help
Find appropriate parametrization to find area bounded by a curve
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[QUOTE="wifi, post: 4506808, member: 477253"] But if I use ##x=rcos\theta## and ##y=rsin\theta##, then I have ##dx=rd\theta## and ##dy=rd\theta##. Also ##|J|=r##. However we want ##dx \ dy=|J|dr \ d\theta##. Using ##x=rcos\theta## and ##y=rsin\theta##, then the curve is given by [tex](rcos\theta)^{\frac{2}{5}}+(rsin\theta)^{\frac{2}{5}}=a^{\frac{2}{5}}[/tex] So to find the area bounded by this curve we want to perform a double integral. I'm just confused on setting it up. Now that we're in terms of ##r## and ##\theta##, how do we figure out the limits of integration for the given curve? [/QUOTE]
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Find appropriate parametrization to find area bounded by a curve
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