Thread: 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.

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.