Calculating the Antiderivative of (-4x)/(x^2 + 3) dx

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SUMMARY

The discussion centers on calculating the antiderivative of the function (-4x)/(x^2 + 3) dx. The initial response of -2 + c is incorrect, as confirmed by forum members who emphasize the need to show work for accurate guidance. A special integration technique for the form f'(x)/f(x) is recommended to solve the integral correctly. Participants stress the importance of verifying answers by taking derivatives to ensure correctness.

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Homework Statement




the antiderivative of (-4x)/(x^2 + 3) dx





Homework Equations





The Attempt at a Solution



i got -2+c is that right at all, if not can somebody help me
 
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If your answer is:

-2 + c

Then no, not even in the ballpark.

Please explain what you did to arrive there.

Note "antiderivative" is the same as "indefinite integral".

To check your answer, take the derivative. If you arrive at the question, you have the right answer.

(Unless of course you had a definite integral, in which case -2 + c could be correct after evaluating the integral on its parameters.)
 
Here's a hint to get you going:

There's a special technique of integration if you want to find integral of f'(x)/f(x). Note that you can easily express the integral in that form.
 
rayray; please note that you must start showing some work here in order for us to help you. Simply quoting an answer does not show what effort you have made, or even what you have done to get your answer. In this question for example, I have no idea what you have done to get your answer; but if you showed your work, I would probably be able to point out your mistakes.

As for the actual approach; I would take Defennnder's advice and try to recall how to integrate f'/f.
 

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