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Integrate each function by using the table in Appendix $D$.$$\int \frac{3 x d x}{2+5 x}$$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 11

Integration by Use of Tables

Integrals

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Lectures

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In mathematics, precalculu…

31:55

In mathematics, a function…

00:15

Use the table of integrals…

02:45

Use a table of integrals t…

03:37

01:16

Evaluate each integral by …

02:56

Evaluate each definite int…

02:29

01:31

Use substitution to find e…

Use tables to perform the …

02:41

Integration by Tables In E…

So here on this problem here to evaluate an indefinite Androgel which is integration three X. B X Divide by two Plus 5 x. And to evaluate this integral we have to use the formula which is given in the appendix D. Now this integration can also be written us this three I can take outside the integration because it's a constant. So integration three empting outside ex d. Ex Divide by two Plus 5 x. Now if you compare it with the formula which is integration you do you divide by A plus B. U. So it is equal to one over B square pains, A plus B. U minus a natural log A plus B. Now if you compare this one with this formula we can say that here you is equal to X And do you is equals two DX And is equal to two And B is equal to five. So the this is the answer for this integration would be This tree would remain as it is. So three integration X dx divide by two Plus 5 Fix. So it would be called to three as it is divide will be square. So be we have a five so it would be 25 times A. We have to Plus B. We have five. So five you we have ex plus A is to natural log two Plus 5 x plus C. Where C is the concept of integration because it will come because it's an indefinite integral. So this is a required answer for the given problem. I hope you have understood the problem. Thank you.

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