You are about to action:

Object being modified by the action

Do you want to proceed?

Share Video Link

https://www.bitchute.com/video/yrfeKANsIwwv/

Click to copy, then share by pasting into your messages, comments, social media posts and websites.

Embed Video HTML

Click to copy, then add into your webpages so users can view and engage with this video from your site.

Share to Social Media

Share to social media by clicking on the quick share links.

Report Content

Reason

Please select the most appropriate reason from the list provided.

Note: For a more detailed description of each reason, see our Community Guidelines.

Additional Comments

Please add any additonal comments that will help with the assessment of your request.

Note: Copyright claims must contain all the items specified within the Copyright Policy.

Email Submissions

We also accept reports via email. Please see the Guidelines Enforcement Process for instructions on how to make a request via email.

Thank you for submitting your report

We will investigate and take the appropriate action.

Add to Playlist

Polar Coordinates: Area: Example 1: r = cos 2ϴ

Next video playing soon

Click to cancel

Autoplay has been paused

Click to watch next video

First published at 23:22 UTC on December 25th, 2017.

Math Easy Solutions

MES

subscribers

Your platform for uncensored ideas. BitChute Premium.

BitChute Advertisement

In this video I go further into determining the area of polar curves and this time do an example on evaluating the area of one loop of a 4 leaved rose given by the polar curve 4 = cos 2ϴ. I had graphed this curve in my Example 8 video, and I use the fact that one of the loops is bounded by the angles -π/4 and π/4. Thus we can apply the formula for area I derived in my last video, or remember the fact that the formula was derived by summing up an infinite amount of sectors of a circle, which we know the formula for as ½*r2ϴ. I also use symmetry to simplify the resulting integral and show that the area of one of the loops is π/8, thus the full curve is four times that, π/2. This is a very useful video in applying the area formula for polar curves so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvU1cfT6XTWOuHvAjw

View Video Notes On Steemit: https://steemit.com/mathematics/@mes/video-notes-polar-coordinates-area-example-1-r-cos-2

Related Videos:

Polar Coordinates: Area Formula: https://youtu.be/wd-EwiKzqa0
Polar Coordinates: Graphing With Polar Curves with Desmos Calculator: https://youtu.be/xY9Be9HHRsk
Polar Coordinates: Cartesian Connection: https://youtu.be/HcaTYrpmGaU
Polar Coordinates: https://youtu.be/-KAdZL-N4ok
Parametric Equations and Polar Coordinates: https://youtu.be/usSors49Gdw
Area of a Sector of a Circle: Proof: https://youtu.be/lglnySF8DyY
Equation of a Circle and it's proof: http://youtu.be/xMXYJ9UeF4I
Integration Overview: How are Riemann Sums, Antiderivatives, and Integrals Linked?: https://youtu.be/TGnnu1vnD_U
Polar Coordinates: Example 8: Four-Leaved Rose: https://youtu.be/mTk5j0jD3dE .