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.
Please consider giving a Like to this video and Subscribing to my channel, it really means a lot for the creator like me, and you will be introduced to many more interesting math videos!
Видео Integration: Equal Area Problems (Trigonometric Functions) канала Cornerstones of Math
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.
Visit Desmos Graphing Calculator: https://www.desmos.com/calculator
#calculus #integrals #areas #TrigonometricFunctions
---------------------------------------------------------------------------------
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.
Please consider giving a Like to this video and Subscribing to my channel, it really means a lot for the creator like me, and you will be introduced to many more interesting math videos!
Видео Integration: Equal Area Problems (Trigonometric Functions) канала Cornerstones of Math
cornerstones of math math integral integration calculus area under a curve integral of sin(x) integral of sinx integral of tan(x) integral of tanx integral of sec(x)tan(x) integral of secxtanx trigonometric integral area bisector bisect the area equal area area and integration area and integral antiderivative indefinite integral definite integral arithmetic mean geometric mean harmonic mean
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8 мая 2025 г. 17:15:01
00:06:41
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