Integrating Bases Other Than e | Calculus Lesson 49 – JK Math

How to Integrate Exponential Functions With Bases Other Than e (Calculus Lesson 49)

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In this lesson we learn how to integrate exponential functions that have a base that is not the number e. We look at the integration rule for these functions and how it can be applied to situations where u-substitution is required. We look at several example problems, explaining each step along the way.

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 Finding the Integral Rule for Bases Other Than e
3:25 Example 1 – 5^x
4:05 Example 2 – 7^(x+1)
6:39 Example 3 – x*2^(x^2)
9:48 Example 4 – 4^(sin(x))*cos(x)
11:54 Example 5 – x^6+6^(-x)
15:55 Example 6 – 3x^2*sqrt(8^(2x^3))

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#calculus

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