Shell method for volume of revolution (rotated about different axis and lines)

Shell method for the volume of revolution. We will cover 7 calculus 1 homework problems on using the shell method to find the volume of the solid of revolution from the Stewart Calculus textbook book. This calculus tutorial will help you if you are taking calculus 1 or ap calculus AB. Hint, it's easier to use the shell method than the disc/washer method when we are given y=f(x) and we rotate about the y-axis or a vertical line. If you need to learn the disc/washer method, please see this video 👉 https://youtu.be/uiEEEx7mPHg 0:00 y=x(x-1)^2, rotated about y-axis 3:24 y=sin(x^2), rotated about y-axis 6:04 y=cbrt(x), rotated about y-axis 9:23 y=x^(3/2), rotated about x-axis 13:20 y=4x-x^2, rotated about x=1 19:43 x=2y^2, rotated about y=2 25:54 y=tan(x), rotated about x=pi/4 Subscribe for more precalculus & calculus tutorials 👉 https://bit.ly/just_calc --------------------------------------------------------- If you find this channel helpful and want to support it, then you can join the channel membership and have your name in the video descriptions: 👉https://bit.ly/joinjustcalculus buy a math shirt or a hoodie (10% off with the code "WELCOME10"): 👉 https://bit.ly/bprp_merch "Just Calculus" is dedicated to helping students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives, and their applications, integration techniques and their applications, separable differential equations, sequences, series convergence test, power series a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos 👉 https://bit.ly/just_calc --------------------------------------------------------- Best wishes to you, #justcalculus