Integration problem

  • Thread starter tunabeast
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Homework Statement


Compute the following antiderivative [tex] \int \frac {(2x+1)}{ (x^2+1)} d \ x[/tex]


Homework Equations





The Attempt at a Solution


I tried a method using using substitution of u = x^2+1, but i think this is approaching the question in the complete wrong way. I think maybe some kind of trigonometric function comes into it but i'm not sure which. Thanks in advance for any assistance
 

Answers and Replies

  • #2
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I tried a method using using substitution of u = x^2+1, but i think this is approaching the question in the complete wrong way. I think maybe some kind of trigonometric function comes into it but i'm not sure which.

Both are needed, but only after you split the fraction

[tex]\frac {(2x+1)}{ (x^2+1)}[/tex] as [tex]\frac {2x}{ (x^2+1)} + \frac {1}{ (x^2+1)}[/tex]
 

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