1.

The value of the definite integral \(\mathop \smallint \limits_1^e \sqrt x \ln \left( x \right)dx\) is

A. \(\frac{4}{9}\sqrt {{e^3}} + \frac{2}{9}\)
B. \(\frac{2}{9}\sqrt {{e^3}} - \frac{4}{9}\)
C. \(\frac{2}{9}\sqrt {{e^3}} + \frac{4}{9}\)
D. \(\frac{4}{9}\sqrt {{e^3}} - \frac{2}{9}\)
Answer» D. \(\frac{4}{9}\sqrt {{e^3}} - \frac{2}{9}\)


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