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

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

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To solve the integral \( \int \frac{1}{(x+1)\sqrt{x+2}} \, dx \), we will use the method of substitution. Here are the steps: ### Step 1: Substitution Let \( t^2 = x + 2 \). Then, we can express \( x \) in terms of \( t \): \[ x = t^2 - 2 \] Now, we differentiate to find \( dx \): ...
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