निश्चित समाकल \(\mathop \smallint \limits_1^e \sqrt x \ln \left( x \right)dx\) का मान क्या है?

1
\(\frac{4}{9}\sqrt {{e^3}} + \frac{2}{9}\)
2
\(\frac{2}{9}\sqrt {{e^3}} - \frac{4}{9}\)
3
\(\frac{2}{9}\sqrt {{e^3}} + \frac{4}{9}\)
4
\(\frac{4}{9}\sqrt {{e^3}} - \frac{2}{9}\)
5
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