Area between two CurvesDate: 12/24/95 at 15:48:41 From: Anonymous Subject: Calculus: Area under function Find the area between the curve x = 1-y^2 and the y-axis? Date: 6/14/96 at 1:38:29 From: Doctor Ethan Subject: Re: Calculus: Area under function This is a neat problem. It is a little tricky because usually you integrate the other way. First you have to know what it looks like. It is a parabola with a vertex at (1,0) that faces left and it goes through (0,1) and (0,-1) So when you think of the integration you want to think about sliding up the y axis and finding the x value at each point, just the way you normally slide along the y axis and find the y value at each point. So it will be the integral from -1 to 1 of [1-y^2]dy. Hope that helps you out. -Doctor Ethan, The Math Forum |
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