Mathematics, 14.01.2020 23:31 buglerboy979
Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
f(x)=2x+1, y=0, x=0, x=4.
Answers: 2
cubic units![\pi \int\limits^a_b {(2x+1)^2} \, dx \\= \pi \int\limits^4_0 {(4x^2+4x+1)} \, dx \\=\pi [\frac{4x^3}{3} +2x^2+x]^5_0\\\\=\pi[\frac{4*4^3}{3}+2*4^2+4-0]\\=\frac{364\pi}{3}](/tpl/images/0455/1261/9104d.png)
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Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded b...
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