Evaluate .

Answer and explanation

Correct answer: A. 1

  1. Step 1: Split the integral at the root where the integrand changes definition:
  2. Step 2: .
  3. Step 3: Evaluate first part: .
  4. Step 4: Evaluate second part: .
  5. Step 5: Sum the areas: .
Answer
1.
Why not the others: '0' integrates without absolute value (); '0.5' evaluates only one triangular half; '2' doubles the base width.

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Evaluate int 0 2 |x - 1| dx. | Thanawiya Amma (Egypt)