**Find**

**Solution.** Since the degree of the numerator is higher
than the denominator, we should perform the long-division. We get

which implies

We concentrate on the fraction . The partial decomposition technique gives

This gives *x* + 2 = *A*(*x*-1) + *B*(*x*+1). If we substitute *x*=1, we get
*B* = 3/2 and we substitute *x*=-1, we get *A* = -1/2. Therefore, we
have

Now we are in position to perform the desired integration. Indeed, we have

Since we have ,

we get

**
**

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