Sketch the region enclosed by the curves given below. Decide whether to integrate with respect to x or y. Then find the area of the region. x = 81 - y^2, x = y^2 - 81.
Added by Daniel R.
Step 1
Step 1: Find the intersecting points of the two curves: To find the intersecting points, set x = 81 - y^2 equal to x = y^2 - 81: 81 - y^2 = y^2 - 81 2y^2 = 162 y^2 = 81 y = ±9 So the intersecting points are (0, 9) and (0, -9). Show more…
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