Integral of sqrt(xlnx) dx

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$$\int\limits_{0}^{1} \sqrt{x \log{\left(x \right)}}\, dx$$

Integral(sqrt(x*log(x)), (x, 0, 1))

The answer (Indefinite) [src]

$$\int {\sqrt{x\,\log x}}{\;dx}$$

The answer [src]

     ___   ____ 
-I*\/ 6 *\/ pi  
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       9

$${{\sqrt{2}\,\sqrt{\pi}\,i}\over{3^{{{3}\over{2}}}}}$$

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-I*\/ 6 *\/ pi  
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       9

$$- \frac{\sqrt{6} i \sqrt{\pi}}{9}$$

Упростить

Numerical answer [src]

(0.0 + 0.482400836372178j)

(0.0 + 0.482400836372178j)

Use the examples entering the upper and lower limits of integration.