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Integrate each of the given functions.$$\int \frac{4 d x}{x^{2} e^{1 / x}}$$

$4 e^{-1 / x}+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 3

The Exponential Form

Integrals

Campbell University

Harvey Mudd College

Idaho State University

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

03:15

Use substitution to find e…

01:17

Find each integral.$$\…

03:37

Evaluate the following int…

01:28

Evaluate each integral.

01:06

01:52

01:00

Evaluate each definite int…

01:07

01:29

01:53

mhm. We want to evaluate the following integral. That is the indefinite integral A four D. X over X squared each. The one over X. Next question is testing our knowledge of the heads of integration as such. We can use our newfound method of integration known as exponential integration to solve as the formula given here states exponential integration gifts that the integral of E. To the U. D. U. Is equal to eat to the U plus C. Where C. Is the cost of integration. So we can notify you D. U. And the integral above re consol via this formula. Since you is whatever is raised to the power of E. It must be that you as negative one over X. Because neither one of us is the denominator which means to you is one over X squared dx. That means using our expansion integration formula and noting our extra factor of four and the numerator are integral. Alright integral is for integral to the U. D. U. Or four. E. To the negative one over X plus C.

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