Question

In: Math

Write two different integrals (one with respect to x, and one with respect to y) that...

Write two different integrals (one with respect to x, and one with respect to y) that express the surface area obtained by revolving the curve y = 2√ x between the points (0,0) and (1,2) about the x-axis. Calculate the easier integral.

Solutions

Expert Solution

The given curve is,

diff wrt x,

The surface area of revolution about the x-axis is given by,

The given curve can be written as,

diff wrt y,

The surface area of revolution about the y-axis is given by,

To calculate the easier integral:

integrate wrt x,

I hope this answer helps,
Thanks,
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