Problem

Integrate each function by using the table in App…

Problem 12 Easy Difficulty

Integrate each function by using the table in Appendix $D$.
$$\int \frac{d x}{x^{2}-4}$$

Answer

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 28

Methods of Integration

Section 11

Integration by Use of Tables

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Video Transcript

So here on this problem we have to evaluate an indefinite integral which is integration DX divide by X Square -4. Now to evaluate this interval we have to use the formless. That is given in the appendix city of the book. Now let me first hurry right. This integration as integration and d X divide by x squared minus this. Four. Can be a readiness to square. Now we can use one formula that is given in the appendix which is integration. Do you divide by you square minus a square and it is equal to one over to a natural log? U minus. A divide by U plus A. Now here if you compare the given integral with this one, we can say that you as equals two X and a Z equals 22 And do you as equals to the X. By using this we can easily evaluate this integral. So integration D x divide by X squared minus two square as it cools to one over to a We have to so two times two becomes four. Natural lock. You we have ex ex ex minus is to divide by express to let's see where sees a concert of integration that will come because it's an indefinite integral. So this was a solution for the given problem. I hope you have understood the problem. Thank you.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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