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Math Help - Area of Polar Curve

  1. #1
    Del
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    Area of Polar Curve

    Find the area enclosed by the polar curve :

    r = 5 e^(0.7θ)

    on the interval 0 ≤ θ ≤ [1/8] and the straight line segment between its ends.


    Please help!
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  2. #2
    MHF Contributor
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    Quote Originally Posted by Del View Post
    Find the area enclosed by the polar curve :

    r = 5 e^(0.7θ)

    on the interval 0 ≤ θ ≤ [1/8] and the straight line segment between its ends.
    Does [1/8] mean one eighth of a radian? If so, then A = \int_0^{1/8}\!\!\int_0^{5e^{0.7\theta}}\!\!\!\!\!\!r\,drd\th  eta. I get the answer to be about 1.7.
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  3. #3
    Del
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    I think you are right, but I think I need the answer to 5 decimal places, if you would be so kind.
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  4. #4
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    It's pretty straightforward. Opalg gave you a simplified result, so with 5 decimal places the answer is 1,70756.
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