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## Homework Statement

Test the following integral for convergence

[tex] \int^{2}_{0}\frac{dx}{1-x^{2}} [/tex]

## Homework Equations

## The Attempt at a Solution

So far I have brought it down to

[tex] \int^{2}_{0}\frac{1}{1-x}+\frac{1}{1+x} dx[/tex]

However, it seems that this integral produces a natural logarithm, which then must be evaluated with a negative logerand, making it a complex number.

My textbook is introductory calculus, so it deals strictly with real numbers, so I am puzzled.

BiP