Mathematics, 29.03.2020 02:35 Hippiekoolaid
Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when the region R is revolved about the line y=-5.
Answers: 2
![V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx](/tpl/images/0569/3234/88879.png)
![V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\](/tpl/images/0569/3234/8768a.png)
![V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]](/tpl/images/0569/3234/be129.png)
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Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume o...
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