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

Antiderivatives: https://www.youtube.com/watch?v=xaCPDMEkbig

Basic Integration Problems:
https://www.youtube.com/watch?v=zOxaUlRkFG0

Indefinite Integral:
https://www.youtube.com/watch?v=JTFMeSCxgcA

Definite Integral:
https://www.youtube.com/watch?v=Gc3QvUB0PkI

Differential Equations:
https://www.youtube.com/watch?v=H5tD_NtPDuU

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Properties of Definite Integrals:
https://www.youtube.com/watch?v=QcHz3h81U-s

Rectilinear Motion Problems:
https://www.youtube.com/watch?v=LBmET4sH460

Sigma Notation - Calculus:
https://www.youtube.com/watch?v=XJkIaw2e1Pw

Riemann Sums - Area:
https://www.youtube.com/watch?v=YTKQswb60Pw

The Midpoint Rule:
https://www.youtube.com/watch?v=5XreKMJDJsg

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Finding Area - Limit Definition:
https://www.youtube.com/watch?v=ctEpKZyxqFU

Definite Integrals - Geometry:
https://www.youtube.com/watch?v=ghxEOz9rmwE

Fundamental Theorem - Part 1:
https://www.youtube.com/watch?v=aeB5BWY0RlE

Fundamental Theorem - Part 2:
https://www.youtube.com/watch?v=ns8N1UuXl4w

Net Change Theorem:
https://www.youtube.com/watch?v=df1Qr8pepx0

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https://www.video-tutor.net/

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https://www.patreon.com/MathScienceTutor/collections