Integral of lnx^2: Help & Solutions

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The discussion focuses on finding the integral of (ln x)^2, with users seeking help on integration techniques. The hint suggests using integration by parts, specifically breaking down the integral into simpler components. One user emphasizes the importance of first solving the integral of ln(x) using integration by parts. The conversation highlights the method of integrating by parts to derive the solution effectively. Understanding these steps is crucial for successfully solving the integral.
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can anyone help me ?? i can't seem to do it i don't know what to do i tried by parts and substitution
 
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HINT:

\int (\ln x)^2 dx = \int \frac {dx}{dx} (\ln x)^2 dx
 
sorry to say but i don't get that hint , can u exlain more please




thanks
 
When you tried integration by parts, how did you break it up? Do you know how to find the simpler integral \int\ln(x)dx by parts?
 
It's just integration by parts:

\int (\ln x)^2 dx = \int \frac {dx}{dx} (\ln x)^2 dx = x (\ln x)^2 - \int x \frac {d (\ln x)^2}{dx} dx

You should be able to handle the rest.
 
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