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Math Help - area of surface by rotating the curve

  1. #1
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    area of surface by rotating the curve

    Find the area of the surface generated by rotating the curve x=1 + t^2, y =t from t = 0 to t= 4 about the x-axis

    can u show ur steps.... need to learn this for a test

    thankx
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  2. #2
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    Quote Originally Posted by victorxz90044 View Post
    Find the area of the surface generated by rotating the curve x=1 + t^2, y =t from t = 0 to t= 4 about the x-axis

    can u show ur steps.... need to learn this for a test

    thankx

    A = \int_{t_1}^{t_2} 2\pi \cdot r(t) \cdot \sqrt{[x'(t)]^2 + [y'(t)]^2} \, \, dt<br />
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    detail

    May you please give a little detail.... thank you for answering
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  4. #4
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    Quote Originally Posted by victorxz90044 View Post
    May you please give a little detail.... thank you for answering
    r(t) = radius of revolution of the curve in terms of t

    \sqrt{[x'(t)]^2 + [y'(t)]} ... you should know what this represents.
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