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Find the area of the surface obtained by rotating the curve y x2 0 ≤ x ≤ 2 about the y axis

Find the area of the surface obtained by rotating the curve y x2 0 ≤ x ≤ 2 about the y axis
asked 33.8k views
1 vote
Find the area of the surface obtained by rotating the curve y x2 0 ≤ x ≤ 2 about the y axis

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User Joshbrows
by
7.9k points

1 Answer

3 votes

ds=√1+(dydx)2dx=√1+14(x4−2+1x4)dx

=√14(x4+2+1x4)dx=√122(x2+1x2)2dx

=12(x2+1x2)dx

answered
User Jebcrum
by
8.6k points
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