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Integration: Equal Area Problems (Trigonometric Functions)

0:00 Video starts.
0:52 Problem (a). With y = sin(x).
2:05 Problem (b). With y = tan(x).
4:27 Problem (c). With y = sec(x)tan(x).

Integration problem where you have to find the line x = c that divides the area under a curve into two regions with equal area. Three curves are given, and in my opinion, they all leads to interesting results.

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#calculus #integrals #areas #TrigonometricFunctions

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CORNERSTONES OF MATH features quality math problems to strengthen your math fundamentals and problem-solving ability. Problems are generally on high school level (with some deviations), spanning over topics such as algebra, discrete mathematics, calculus, geometry, statistics, trigonometry, etc. I hope that this channel provides some intellectual pleasure and make you appreciate the beauty of math itself.

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Видео Integration: Equal Area Problems (Trigonometric Functions) канала Cornerstones of Math
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