Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Calculus Definite Integrals
The value of definite integral \(\mathop \smallint \limits_1^e \sqrt x \ln \left( x \right)dx\) is
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
\(\frac{2}{9}\sqrt {{e^3}} - \frac{2}{9}\)