Problem

Integrate each of the given functions. $$\int e^{…

Problem 3 Easy Difficulty

Integrate each of the given functions.
$$\int e^{7 x}(7 d x)$$

Answer

$e^{7 x}+C$

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 28

Methods of Integration

Section 3

The Exponential Form

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Video Transcript

Okay, we want to integrate the following integral. The indefinite integral of E seven X. 10 70 s. This question is testing our knowledge of methods of integration. We've already learned about the power of the integration, as well as the log arrhythmic rule for integration. In this section, we're being tested on our newly learned exponential integration rule which states that the integral of E D u d U. Is each of the U plus C. We're seeing the concept of integration. So if we identify you D you in our integral, we can easily use exponential integration to solve. So are you as what is raised to the power of E? So we see clearly that us seven X. Which means us seven X. And the U. S. Seven Dx. Thus, because our integral exactly holds either the U. D. U. We can use the exponential integration to show our solution is even a seven X plus C on the right.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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