Mathematics, 01.07.2019 22:20, micahmckay05
Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 7x6, y = 7x, x ≥ 0; about the x-axis
Answers: 1
cubic units.
![V=\pi \int_{a}^{b}[f(x)^2-g(x)^2]dx](/tpl/images/0040/2534/c6c63.png)
![V=\pi \int_{0}^{1}[(7x)^2-(7x^6)^2]dx](/tpl/images/0040/2534/ca1c1.png)
![V=\pi \int_{0}^{1}[49x^2-49x^{12}]dx](/tpl/images/0040/2534/15137.png)
![V=49\pi \int_{0}^{1}[x^2-x^{12}]dx](/tpl/images/0040/2534/a0bff.png)
![V=49\pi [\frac{x^3}{3}-\frac{x^{13}}{13}]_0^1](/tpl/images/0040/2534/6cc56.png)
![V=49\pi [\frac{1^3}{3}-\frac{1^{13}}{13}-(0-0)]](/tpl/images/0040/2534/82f3c.png)
![V=49\pi [\frac{1}{3}-\frac{1}{13}]](/tpl/images/0040/2534/9e718.png)
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