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Integrate each of the given functions.$$\int \frac{8 x}{e^{x^{2}}} d x$$

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

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 3

The Exponential Form

Integrals

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:07

Find each integral.$$-…

01:00

Find each integral.$$\…

02:12

Use substitution to find e…

01:11

00:44

Find the indefinite integr…

03:36

Evaluate each definite int…

01:06

Evaluate the indefinite in…

04:02

Evaluate the integral.…

01:02

Determine each indefinite …

02:20

Evaluate the integrals.

mhm. We want to evaluate the following integral which is the indefinite integral of X over E. To the X squared dx. So this question is testing our knowledge of methods of integration. We've already learned about the power rule and long rhythmic integration. So this question is testing a finally found knowledge of exponential integration which states that the integral of E d u d u E D plus C. So use whatever raised the power of E. Since E X squared in the denominator we must have that you is negative X squared. So do you is negative two X. Dx as well. Therefore are eight X dx has an extra power of negative four. Or rather an extra constant or multiple factor of negative for which we carry over to our final solution. Thus we have that are integral is negative for integral. E. To the U. D. You plugging in for the exponential integration formula. We have negative for each of the negative X square plus. See the concept of integration.

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