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I would like to calculate one integral. I just want to get primitive function, not definite integral.

∫ 1/(x^2+a) dx

where a is real number and >0

I only found that

∫ 1/(x^2+1) dx ,

its arctan(x) + C,

but i dont know how it is with different 'a' values.

Thanks for help!

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# How to integrate function 1/(x^2+a) ?

**Physics Forums | Science Articles, Homework Help, Discussion**