Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
$y=x^{-5}, y=0, x=1, x=9;$
about the $y$-axis.
How do I solve this when given four values?
2026-03-25 03:04:06.1774407846
Find the volume of the solid obtained by rotating the region about the y-axis;
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Use the method of cylindrical shells:
$$ V=2\pi\int_{1}^{9}x\frac{1}{x^5}\,dx=2\pi\int_{1}^{9}x^{-4}\,dx $$