Question #257697

Determine the volume generated bounded by the curves y= 1/x, 2x - y =0, x=10, and the x-axis. Rotated about the x-axis.

Expert's answer

According to second theorem of Guldino, volume obtined by a rotation of a section bounded by a function f(x)

and the x-axis between a and b is :"V=\\pi\\int_a^bf^2(x)dx"

In our case, we have

"V= \\pi \\int_1^2e^{(2x)}dx=\\pi\/2(e^4-e^1)"

so it will be:

"2x-y=0\\space"

"\u2014> 2(10)-y=0"

"Y=20m"

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