# Integration by parts

1. May 13, 2010

### thereddevils

1. The problem statement, all variables and given/known data

By integrating by parts , show that

$$\int \frac{1}{1-x^2}dx=\frac{x}{1-x^2}-\int \frac{2x^2}{(1-x^2)^2}dx$$

2. Relevant equations

3. The attempt at a solution

I don see which is u and v.

2. May 13, 2010

### Cyosis

You can view the first integral as a product of two functions, which ones? Now if you don't see which one should be u and which one should be v just try one. After all there are only two possibilities.

3. May 13, 2010

### Tedjn

Perhaps it would further help to think about how the x could appear in the numerator of the first term on the right hand side.

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