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Integrate each of the given functions.$$\int 2 e^{-4 x} d x$$

$-\frac{1}{2} e^{-4 x}+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 3

The Exponential Form

Integrals

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Lectures

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In mathematics, precalculu…

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In mathematics, a function…

03:37

Evaluate the following int…

01:17

Find each integral.$$\…

03:15

Use substitution to find e…

01:52

01:10

Evaluate each integral.

01:02

Determine each indefinite …

00:54

01:07

01:29

00:47

Oh we want to integrate. The following. The indefinite integral of two equals negative four X. Dx. This question is testing our knowledge of methods of integration. We've already learned about the power rule for integration as well as the log arrhythmic integration in this section we're being evaluated on our newfound knowledge of exponential integration which states that the integral of either you D. You is either you plus C. So we can plug into the solution formula Either you plus see if we simply figure out what you do you are in our integral. So since you is whatever is raised the exponential power it must be. There are integral is new equals negative four X. D. U. Equals negative for the X. We see that we're missing a factor of negative one half in our original integral which must carry over to our final solution. Thus are integral is equal to negative one half integral to the U. D. U. Or negative one half is negative four X. Plus the constant of integration. See

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