Single Variable Calculus
4. Techniques of Integration
Part A: Trigonometric Powers, Trigonometric Substitution and Com
Session 70: Preview of Trig Substitution and Polar Coordinates
« Previous | Next »
For some integrals it's advantageous to use polar coordinates, replacing x by r times the cosine of theta and y by r sine theta.
» Clip 1: Area of Part of a Circle (00:17:00)
» Accompanying Notes (PDF)
From Lecture 27 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Area of Part of a Circle
> Download from iTunes U (MP4 - 103MB)
> Download from Internet Archive (MP4 - 103MB)
> Download English-US transcript (PDF)
> Download English-US caption (SRT)
An Alternate Solution
Don't show me this again
This is one of over 2,200 courses on OCW. Find materials for this course in the pages linked along the left.
MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum.
No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates.
Knowledge is your reward. Use OCW to guide your own life-long learning, or to teach others. We don't offer credit or certification for using OCW.
Made for sharing. Download files for later. Send to friends and colleagues. Modify, remix, and reuse (just remember to cite OCW as the source.)
Learn more at Get Started with MIT OpenCourseWare