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Professor Dave Explains · Monday · 11 min

Finding the Area Between Two Curves by Integration

By now we are very familiar with the concept of evaluating definite integrals to find the area under a curve. But this always gives us the area between a curve and the x-axis. Is there some other way to apply integration to find some different area? Yes there is! We can also find the area between any two curves on the coordinate plane over some interval, simply by subtracting two integrals. It's easier than you think! Let's find the area between two curves. Watch the whole Calculus playlist: http://bit.ly/ProfDaveCalculus Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio EMAIL► ProfessorDaveExplains@gmail.com PATREON► http://patreon.com/ProfessorDaveExplains Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience! Amazon: https://amzn.to/2HtNpVH Bookshop: https://bit.ly/39cKADM Barnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT Learn more about your ad choices. Visit megaphone.fm/adchoices

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show notes

By now we are very familiar with the concept of evaluating definite integrals to find the area under a curve. But this always gives us the area between a curve and the x-axis. Is there some other way to apply integration to find some different area? Yes there is! We can also find the area between any two curves on the coordinate plane over some interval, simply by subtracting two integrals. It's easier than you think! Let's find the area between two curves.

Watch the whole Calculus playlist: http://bit.ly/ProfDaveCalculus
Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath

Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio

EMAIL► ProfessorDaveExplains@gmail.com
PATREON► http://patreon.com/ProfessorDaveExplains

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM

Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT

Learn more about your ad choices. Visit megaphone.fm/adchoices

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