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## Homework Statement

Find the area of the surface obtained by rotating the curve

y= 1+4 x^2

from x=0 to x = 8 about the y-axis.

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- Thread starter Tranquility13
- Start date

- #1

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Find the area of the surface obtained by rotating the curve

y= 1+4 x^2

from x=0 to x = 8 about the y-axis.

- #2

- 6

- 0

Hi

How did you try to solve it? Or don't you know how to start?

How did you try to solve it? Or don't you know how to start?

- #3

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Not sure how to start it.

Any assistance would be greatly appreciated.

Any assistance would be greatly appreciated.

- #4

malawi_glenn

Science Advisor

Homework Helper

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If it is, how is surface interagrals defined?

(post in relevant HW-section in the future, this is not introductory physics)

- #5

tiny-tim

Science Advisor

Homework Helper

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Find the area of the surface obtained by rotating the curve

y= 1+4 x^2

from x=0 to x = 8 about the y-axis.

Hi Tranquility13!

This is like the one about volumes.

again, divide it into horizontal slices at distance y above the x-axis, with height dy (so the slope is dy/dx).

what is the surface area of this slice (remember, it depends on the slope)?

get that, and then we'll do the integral.

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