🛠️ JEE➗ Maths

The integral \( \int_{1}^{2} e^{x} \cdot x^{x}\left(2+\log _{e} x\right) d x \) equals :

Q1

The integral \( \int_{1}^{2} e^{x} \cdot x^{x}\left(2+\log _{e} x\right) d x \) equals :

a

\( e(2 e-1) \)

b

\( \mathrm{e}(4 \mathrm{e}-1) \)

c

\( 4 \mathrm{e}^{2}-1 \)

d

\( \mathrm{e}(4 \mathrm{e}+1) \)

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