Basic Integration Rules & Problems, Riemann Sum, Area, Sigma Notation, Fundamental Theorem, Calculus

This calculus video tutorial provides examples of basic integration rules with plenty of practice problems. It explains how to find the definite and indefinite integral of polynomial functions, exponenial functions, rational functions, trigonometric functions, and square root / radical functions. It also helps you to find the value of the definite integral / area under the curve using riemann sum - left and right endpoints along with the midpoint rule, trapezoidal rule, and the simpson's rule. In addition, it explains how to calculate the integral using the limit definition with sigma notation / summation. Finally, this video discusses the fundamental theorem of calculus - part 1 and part 2.

Integration - Free Formula Sheet:
https://www.video-tutor.net/calculus-formula-sheets.html

Calculus 1 Final Exam Review:
https://www.youtube.com/watch?v=WmBzmHru78w

Final Exam and Test Prep Videos:
https://bit.ly/41WNmI9

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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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Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections