Find the volume of the figure obtained by rotation around x-axis, bounded by: $xy = a^2$, $y = 0$, $x = a$, $x = 2a$. I have trouble to set the integration bounds. I know that the volume can be calculated by using $$V = \pi \int_{a}^{b} f^2(x) dx$$ How to proceed?
2026-03-27 02:37:48.1774579068
The volume of the figure formed by rotation around x-axis
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For $a>0$ just calculate $$\pi\int\limits_a^{2a}\left(\frac{a^2}{x}\right)^2dx.$$
The case $a<0$ for you.