Fundamental Theorem of Calculus (FTC) Examples | Calculus - JK Math

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Example Problems for The Fundamental Theorem of Calculus (FTC)

In this video we work through practice problems of using the Fundamental Theorem of Calculus (FTC) to solve some definite integrals. We specifically focus on using the second part of the theorem to solve a certain type of problem.

This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!

Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 Example 1 - Definite Integral of 8x from 0 to 2.
1:55 Example 2 - Definite Integral of 3x^2-2 from -1 to 0
4:00 Example 3 - 2nd Part of the FTC: sqrt(t) from 0 to x
6:43 Example 4 - 2nd Part of the FTC: t^3 from 4 to -x
10:32 Example 5 - 2nd Part of the FTC: t^(1/3) from 1 to x^3
13:46 Example 6 - 2nd Part of the FTC: sqrt(t+t^4) from 2 to sin(x)
16:05 Example 7 - 2nd Part of the FTC: sqrt(t+1) from x^2 to x^4

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