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The integral \(\int_1^2 e^x \cdot x^x\left(2+\log _e x\right) d x\) equal : [JEE Main 2020, 6 Sep (Shift 2)]

Q1

The integral \(\int_1^2 e^x \cdot x^x\left(2+\log _e x\right) d x\) equal :

[JEE Main 2020, 6 Sep (Shift 2)]

a

\(e(4 e-1)\)

b

\(e(4 e+1)\)

c

\(4 e^2-1\)

d

\(e(2 e-1)\)

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