💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!



Numerade Educator



Problem 61 Hard Difficulty

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves about the given axis.

$ y = \cos (\frac{\pi x}{2}) $ , $ y = 0 $ , $ 0 \le x \le 1 $ ; about the y-axis




You must be signed in to discuss.

Video Transcript

problem is used my third of its cylindrical show house to find that the warrior generated by rotating the region. Bonnie Device Cruise Other than given access Why is he goto Sign I acts were true. Why's the serial access between zero and one? But Y axis through the weekend jobs graph is as follows This is from zero to one and the graph of wise he goto sign packs where to so region's thiss part. And when we need to rotate this region about why access and find the volume So use cylindrical shells My third, we can see Watch him while we get caught You shoot high into girl from zero one hams packs arms Relax. What is this Call Sign? Hi. Ike's over too. The axe. Now for this problem, we can use integration my parts So the formula is And to grow from a to B you be from the axe. It's cultural. You have sway from a to B minus into girl from a to B You from house Leave Jax now for our problem. We collide. You sick too Axe and a promise to who assigned hi ice over two. Then you prom has one and B is two. Sure. Fine times, Signe. Hi, I over two now. Just WeII if he cut your high times, buy this farm owner to see you. This is our two lower high times. I sign I over to from zero to one on minus integral off your prom comes we. So this is to over Pi signed. Hi. Ike's over two from zero to one, Jax. Now this is he called too. This is Chico. Chico. Too high times. Hi. Over too. Replying one and zero to ACS. This is a want you one and then minus two over a pie. I am so integral of sign packs over to this is equal to make typical signs of his ass. Sign us to our high sign. I Iike older two from zero to one. This is the country True high times Hi! Tour behind us. Oh, our high squire arms consign pirate with zero and Kasai in here is one. The answer is four minus Ain't over, Pi. This is our answer