- #1
songoku
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Homework Statement
The line y = x + 6 meets the curve y = x2-4x at the points P and Q. Find the volume of the solid generated when the area enclosed by the line and the curve is rotated through 360o about the x-axis
Homework Equations
Integration
The Attempt at a Solution
I've drawn the graph and found the intersections, which are x = -1 and x = 6. The region are located in first, second, and fourth quadrants. I'm confused about the region in fourth quadrant.
How to find the volume of all the region when they are rotated 360o about the x-axis? I can't imagine what shape it forms, I think the region in fourth quadrant will "overlap" with region in first quadrant when rotated.
Thanks