In: Math
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.
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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