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Integrate each of the given functions.$$\int \frac{8 x d x}{9 x^{2}+16}$$

$\frac{4}{9} \ln \left(9 x^{2}+16\right)+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 6

Inverse Trigonometric Forms

Integrals

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:00

Find each integral.$$\…

01:07

Find each integral.$$-…

01:14

express each integral as a…

02:12

Use substitution to find e…

01:11

03:36

Evaluate each definite int…

06:31

$$\text {Evaluate the foll…

01:32

Evaluate the following int…

06:02

01:46

we want to evaluate the following integral the integral of eight X divided by nine X squared plus 16. This question is challenging our knowledge of integration techniques and single variable calculus in particular is testing our ability to utilize inverse econometric intervals. So we have on the left one integrity you overrule a square minus U squared equals X over a PFC. And on the right to the Israel to you. Over a squared plus B squared equals one over A. Are changing over a Chelsea to use this. Forget it was properly to identify which are integral matches one or two. We clearly see that are integral matches too. So we must have you do you and made us all so for using shoe we can see you as three X. Do you as three D X and X equals four. Thus are integral has an extra factor of eight thirds. We must carry over the solution, which means are integral is eight thirds integral. Three D x over nine X squared plus 16 equals eight thirds times our solution from equation two or 2/3 are tangent to react over four plus the constant of integration. See

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