Surface area obtained by rotating the curve about y axis
will be
S=∫122πx(1+(y1)2)dx [ where the y1 is the differentiation with respect to x]
⟹∫122πx(1+(6x)2)dx⟹36π∫1272x(1+(6x)2)dx⟹36π∫36144(1+z)dz⟹36π32(1+z)23∣36144⟹54π[14523−3723] [Here we take Z=36x2]
So area of the given curve is 54π[14523−3723]
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