Fundamental Theorem of Calculus Part 1

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This math video tutorial provides a basic introduction into the fundamental theorem of calculus part 1. It explains how to evaluate the derivative of the definite integral of a function f(t) using a simple process. f(x) is a continuous function on the closed interval [a, b] and F(x) is the antiderivative of f(x). You need to be familiar with the chain rule for derivatives. This video contains plenty of examples and practice problems.

Antiderivatives:

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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Thank you Jesus Christ for your existence. I’ve been trying to wrap my head around this theorem for two days now and every damn video was finding F’(x) instead of differentiating it. I WATCHED 23 videos before I came across this one. My proctor kept mentioning how the number doesn’t exist and I was like “😐wtf do u mean it doesn’t exist?” And then u just kept working them out and explaining them and then BOOM finally clicked. Gosh dang thank u so much.

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