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`log(x+sqrt(1+x^(2)))`

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To solve the integral \( \int \log(x + \sqrt{1 + x^2}) \, dx \), we can use integration by parts. Let's go through the steps systematically. ### Step 1: Identify \( u \) and \( dv \) We choose: - \( u = \log(x + \sqrt{1 + x^2}) \) - \( dv = dx \) ### Step 2: Differentiate \( u \) and integrate \( dv \) ...
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