(x+1) / [x(x²+1)] i worked it out and got..... ln|x|-(1/2)ln|x²+1| + c is this right or wrong? my book has something to do with arctan in it!? i dont see how!
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You can always check an integration by differentiating, and seeing if you get back to the original integrand. Do you in this case?
Here is a solution (it does not use partial fractions, so you would still have to do it yourself, of course): Let , then thus:
If you want to use Partial Fractions: . So . So . Therefore . The first term is easy to integrate, the second needs a substitution, the third needs a trigonometric substitution.
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