## henriquerb Group Title Integrate sqrt(x)lnxdx one year ago one year ago

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1. abb0t

$\int\limits \sqrt{x}\ln(x)dx$ I'm going to assume that's the correct integral, above. You're going to use parts, which takes the form: $\int\limits udv = uv - \int\limits vdu$ u = ln(x) dv = √x $du = \frac{ 1 }{ x }$ $v = \frac{ 2 }{ 3 } x^{\frac{ 3 }{ 2 }}$

2. abb0t

$\frac{ 2 }{ 9 }x^{\frac{ 3 }{ 2 }}(3\ln(x)-2)+C$