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Thread: area of polar curves

  1. #1
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    area of polar curves

    find the area of the region that is bounded by the given curve and lies in the specified sector.
    r=sin θ , \frac{\pi}{3} ≤ θ ≤ \frac{2\pi}{3}
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  2. #2
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    Quote Originally Posted by yoman360 View Post
    find the area of the region that is bounded by the given curve and lies in the specified sector.
    r=sin θ , \frac{\pi}{3} ≤ θ ≤ \frac{2\pi}{3}
    A = \int_{\theta_1}^{\theta_2} \frac{r^2}{2} \, d\theta<br />
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  3. #3
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    Quote Originally Posted by skeeter View Post
    A = \int_{\theta_1}^{\theta_2} \frac{r^2}{2} \, d\theta<br />
    I got

    \frac{\pi}{12} + \frac{\sqrt{3}}{8}
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  4. #4
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    Quote Originally Posted by yoman360 View Post
    I got

    \frac{\pi}{12} + \frac{\sqrt{3}}{8}
    that works.

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