Answer and explanation

Correct answer: A.

  1. Step 1: Integration by parts: let , .
  2. Step 2: .
  3. Step 3: Evaluate at : .
  4. Step 4: Evaluate at : .
  5. Step 5: Subtract: .
Answer
(e^2 + 1)/4.
Why not the others: '' miscalculates sign of the lower limit; '' forgets the second term.

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