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Applications of Integrals: Discovery Project: Rotating on a Slant: Question 3

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First published at 03:03 UTC on April 10th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over question 3 on the Discovery Project: Rotating on a Slant video series. This time I derive the general formula for the volume of a shape generated by rotating a curve about a slanted line. I use the derivation I made earlier in Question 1 for the area of the region between the curve and the slanted line to solve for the volume. The volume equation I derive is very similar to that for the area but involves squaring the radius of revolution. To understand this question in detail, make sure to watch the first questions of this video series!

Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104360&authkey=!ABktqgP4-ovLXSE&ithint=file%2cpdf

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applications-of-integrals-discovery-project-rotating-on-a-slant-question-3

Related Videos:

Discovery Project: Rotating on a Slant: Question 3: https://youtu.be/zwodt1OsFjE
Discovery Project: Rotating on a Slant: Question 1: https://youtu.be/dXlhpDOBDe0
Discovery Project: Patterns in Integrals: Question 1: 1/((x+a)(x+b)): http://youtu.be/uQUu0XFMw8I
Discovery Project: Patterns in Integrals: Question 2: sin(ax)cos(bx): http://youtu.be/O0p1DGMOcfM
Discovery Project: Patterns in Integrals: Question 3: x^n * ln(x): http://youtu.be/PA9-Me1ko10
Discovery Project: Patterns in Integrals: Question 4: x^n * e^6: http://youtu.be/XgE75Pa0n-c
Area Under a Curve: Introduction to Integral Calculus: http://youtu.be/JbEbhv8ybmE
Integrals and Volumes: http://youtu.be/-evdvkDwBuQ .

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