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Integrate the functions(x+2)/(sqrt(x^2+2...

Integrate the functions`(x+2)/(sqrt(x^2+2x+3)`

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To solve the integral \(\int \frac{x+2}{\sqrt{x^2 + 2x + 3}} \, dx\), we will follow a systematic approach. ### Step 1: Simplify the Integral First, we can rewrite the expression under the square root: \[ x^2 + 2x + 3 = (x^2 + 2x + 1) + 2 = (x + 1)^2 + 2 \] Thus, our integral becomes: ...
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