Finding The Area Using The Limit Definition & Sigma Notation

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This calculus video tutorial explains how to find the area using the limit definition with sigma notation and summation formulas.

Basic Integration Problems:

Indefinite Integral:

Definite Integral:

Differential Equations:

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Properties of Definite Integrals:

Rectilinear Motion Problems:

Sigma Notation - Calculus:

Riemann Sums - Area:

The Midpoint Rule:

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Finding Area - Limit Definition:

Definite Integrals - Geometry:

Fundamental Theorem - Part 1:

Fundamental Theorem - Part 2:

Net Change Theorem:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:
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madboycal
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jeffreyma
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aliaisaacs
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Trynnagetmydegree__
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I thought I was gonna be stuck forever. KhanAcademt doesn't even have one of these videos. Thank you, OCT.

rafeeqmuhammad
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After using all these steps:

He says: "Now we apply math"

andrewmorgan
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Imagine having to use that limit definition for every problem

nicksacco
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kainatnaqvi
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You make very clear instructional math videos, Mark Wahlberg. Thank you. But what is the difference between a and i, on here they are both 1, why have two different variables?

danielbrown
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Professor Organic Chemistry Tutor, thank you for showing How to find the Area using the Limit Definition and Sigma Notation in Calculus One. This old fashion method increases my understanding of the Summation Formulas and its impact on finding Areas under a curve. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

georgesadler
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