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Area of a Sector of a Circle: Revisited Using Definite Integrals Only

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First published at 23:26 UTC on April 14th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I revisit my earlier proof of the area of a sector of a circle, and this time show how it can be solved using only definite integrals. In my earlier proof video I used an indefinite integral method to solve the step that involved trig substitution for integrals because I did not want to change the intervals of integration. But in this video using only definite integrals provides a useful concept to understand, which is always keeping track of the variables being used or substituted. Thus by using the definite integral method, I show how the angle I am substituting is different than the actual angle of the sector of the circle that I am deriving the area for. This is a pretty interesting and useful video on understanding the importance of the intervals of integration so make sure to watch this video!

Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104271&authkey=!AND6pxQG88tEyDo&ithint=file%2cpdf

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/area-of-a-sector-of-a-circle-revisited-using-definite-integrals-only

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