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24-11-2017
Mathematics

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

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hent202260 hent202260

29-11-2017

ds=√1+(dydx)2dx=√1+14(x4−2+1x4)dx

=√14(x4+2+1x4)dx=√122(x2+1x2)2dx

=12(x2+1x2)dx

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