In this video I go over another very interesting discovery project, which is a series of advanced math concepts at the end of each chapter in my calculus textbook. This discovery project involves working the area, surface area, and volume of a shape that is rotated on a slanted line, as opposed to the typical vertical and horizontal lines which I covered before. I solve question 1 in this video, which involves determining the area of the region with respect to the slanted line. The solution to this video involves using trigonometry to write the terms on the slanted line in terms of x. This is a very interesting video so make sure to watch it and stay tuned for more on this project in my later videos!
Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104297&authkey=!AGZErrrmhurKIX0&ithint=file%2cpdf
View Video Notes on Steemit: https://steemit.com/mathematic/@mes/applications-of-integrals-discovery-project-rotating-on-a-slant-question-1
Related Videos:
Discovery Project: Patterns in Integrals: Question 1: 1/((x+a)(x+b)):
Discovery Project: Patterns in Integrals: Question 2: sin(ax)cos(bx):
Discovery Project: Patterns in Integrals: Question 3: x^n * ln(x):
Discovery Project: Patterns in Integrals: Question 4: x^n * e^6:
Area Under a Curve: Introduction to Integral Calculus:
General Area of a Region Definition/Formula:
Trigonometry Identities: cos(x +/- y) = cos(x)cos(y) -/+ sin(x)sin(y) :
Trigonometry: Sine, Cosine and Tan Functions:
Simple Proof of the Pythagorean Theorem:
Proof that Sum of Angles in ANY Triangle = 180 degrees: .
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I don't always find the area of a region but when I do I usually find it with respect to a slanted line ;)
View Video Notes on Steemit: https://steemit.com/mathematic/@mes/applications-of-integrals-discovery-project-rotating-on-a-slant-question-1