Find `int(dx)/((x+1)(x+2)`

Explanation

To solve the integral \( I = \int \frac{dx}{(x+1)(x+2)} \), we can use the method of partial fractions. Here’s the step-by-step solution:

### Step 1: Set up the partial fraction decomposition
We start by expressing the integrand as a sum of simpler fractions:
\[ \frac{1}{(x+1)(x+2)} = \frac{A}{x+1} + \frac{B}{x+2} \]
where \( A \) and \( B \) are constants to be determined.
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