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The integral ∫ ⎪ ⎭ ⎪ ⎬ ⎫ ⎪ ⎩ ⎪ ⎨ ⎧ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ e 1 x x 2 x e e x log e x dx is equal to :

1. 2 e 2 1 e 1 2 1 − + −
2. 2 e 2 1 e 2 3 − −
3. 2 e 1 e 2 1 − −
4. 2 e 2 1 e 1 2 3 − −

Correct answer: 2 e 2 1 e 2 3 − −

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