Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
$ y = x + 1 $ , $ y = 0 $ , $ x = 0 $ , $ x = 2 $ ; about the x-axis
Applications of Integration
here we have find no family on the salient Opted my beginning. There is your own mother. By then, given ups off, the cops are gonna catch this one. Michael zero Our this best friend on the line, sir, it's with zero Pinto. Now he Ah, it is riveted by rotating about the excesses and a panda following, which is and made a tradition. Now let us first. All right, The formula here are the formal of our volume is write down the formula Oh, Aysen to sign Yeah, well, we gotta do integration off by our square fire spread kids were confined on letter There's a formula on also on our up we'LL have tto plan the limit. Which way? Do a letter. Okay, Now let us find our yeah are equal white two minus When quiches in Archies Express one My Cereal express one. So only queen Yeah, Let's go People buy Asper eyes express on horseback. Run! Yeah, that's one. So look, But that's it. So we're on the function here now. We're better by the minute, d'oh, you can't limit well being actually going Teo toe toe toe zero. So coming. That's unless port airport and here. We're too fast part from the integration. Then have a like Lim. So, Ryan diverting and get Okay, Well, by the constant. So let's just forget this trouble. Yeah. Okay, so by the constant way out now wait. A formula for integration Vigorous enough. Yes, they were. And plus one what? You know, run. So we get well, but bye. Go. You'LL break free. Okay. It's, um so I don't see them. Yeah. Excuse us. Really? Get access. Where? By two on dh didn't render to will be cancelled. It is to hear st so family will get just That's a square despair on integration off one is just x. So this is the final function have got by integrating, integrating now with a badly no limit. Okay, the limit is from X zero. And so the zero doing single tto go No on then, having a big get here since excitement to zero. And so the second part off the Lim after probably after a plane limit second part will be settled. So just big and just imply the limit for table two. So when doing this, we get okay. No. Okay. No. Open the treaty given x France Who square witness for us till six. So lying Trained to six. Eighty in Edinburgh a twenty six frantisek spread fake. So final appearance. Twenty six, right? Right. Three. This is the river. So there's all these like fast video. I'm not good. I'm making you. Could do. Okay, let's see and thank you.