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Evaluate: int(dx)/((x+2)sqrt(x+1))...

Evaluate: `int(dx)/((x+2)sqrt(x+1))`

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To evaluate the integral \(\int \frac{dx}{(x+2)\sqrt{x+1}}\), we will use a substitution method. Here are the steps: ### Step 1: Substitution Let \( t^2 = x + 1 \). Then, we have: \[ x = t^2 - 1 \] Differentiating both sides gives: ...
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