Finding Surface Area

  • #1
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Homework Statement


Find the area of the surface obtained by rotating the curve y=1+5x2 from x=0 to x=8 about the y-axis



Homework Equations


As=[tex]\int[/tex]2[tex]\pi[/tex]g(x)sqrt(1+[g'(x)]2)


The Attempt at a Solution


I changed the limits to suit the y direction, the lower limit becomes 1 and the upper 321. I solved x as a function of y in order to rotate around the y axis and when I plug everything into the formula is becoems a really messy integral I can't solve. I'm sure there's an easier way.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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Hi danielatha4! :smile:

Why not just use ∫ 2πx √(1 + g'(x)2) dx ?
 

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