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Math Help - line integral help!

  1. #1
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    Question line integral help!

    Use a line integral to find the area of the surface that extends upwards from the parabola y=x^2 where 0< or = x <or = 2 in the xy-plane to the plane z=3x.

    Um... i don't know how to set up the line integral TO FIND THE AREA OF THE SURFACE. Please teach me if you know how .. thank you very much.
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  2. #2
    MHF Contributor
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    You have been doing it since you first found the value of an integral.

    In the old days, your "line" was always the x-axis. The "area under the curve" was the surface area of the very thin curtain between the x-axis and the curve.

    Now, you just need a new path. First, create a suitable parameterization for your curve within the given limits.
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