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Integrate with respect to x: 1/((x+1)(x...

Integrate with respect to `x`: `1/((x+1)(x+2))`

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To solve the integral \( \int \frac{1}{(x+1)(x+2)} \, dx \), we will use the method of partial fractions. Here are the steps: ### 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 that we need to determine. ...
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