?Find the area of the surface obtained by rotating the given curve about the -axis.\(x=4

Chapter 10, Problem 45

(choose chapter or problem)

Find the area of the surface obtained by rotating the given curve about the $x$ -axis.

$x=4 \sqrt{t}, y=\frac{t^{3}}{3}+\frac{1}{2 t^{2}}, 1 \leqslant t \leqslant 4$

Equation Transcription:

$x=4\sqrt{t},\ y=\frac{{t}^{3}}{3}+\frac{1}{2{t}^{2}},\ 1$ ⩽ $t$ ⩽ $4$

Text Transcription:

x=4sqrt t, y=t^3 /3 + 1/2t^2 , 1 leqslant t leqslant 4

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