Like

Report

We know from Example 1 that the region $ \Re = \{ (x, y) \mid x \ge 1, 0 \le y \le \frac{1}{x} \} $ has infinite area. Show that by rotating $ \Re $ about the x-axis we obtain a solid with finite volume.

$\pi$

Integration Techniques

You must be signed in to discuss.

Lucas this region We need to show that by rotating this region about axe access on with the battalion solid with finite volume. If I write way is the volume off? Is this true regional state irritated about X axis? And for each axe area of the section of this What solid if Iko too. So is a disc area off this section. Is he going to pie Times one over X square. This is the area. I was a section here. So the volume as Iko too integral from one to infinity. Off area with this section. Yaks. Now about that mission This's vehicle to the limit. A goes to infinity into girl from one, eh? Hi, moms. One over X squared? Yeah, they're asleep. We come to the limit. A toast to unity. And this is what? Negative. Hi. One over X from one too, eh? This is the limit. A toast to unity makes you a pie bond Over a minus one on one A goes to infinity One hour a goes to zero. So the volume off this solid if we goto Hi. It is a finite volume