Evaluate the definite integral .

Answer and explanation

Correct answer: A.

  1. Step 1: Use integration by parts .
  2. Step 2: Let , and .
  3. Step 3: Apply formula: .
  4. Step 4: Evaluate boundary terms: .
  5. Step 5: Evaluate integral: .
  6. Step 6: Result: .
Answer
pi/2 - 1.
Why not the others: '' forgets the remaining integral; '' omits the boundary evaluation; '' has a sign error on .

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