Evaluate ∫₀² |x − 1| dx.
Evaluate ∫₀² |x − 1| dx.
- A. 0
- B. 1
- C. 2
- D. 4
Answer: B) 1
Explanation: ∫₀² |x−1| dx = ∫₀¹ (1−x) dx + ∫₁² (x−1) dx = [x − x²/2]₀¹ + [x²/2 − x]₁² = (1 − 1/2) + ((2 − 2) − (1/2 − 1)) = 1/2 + (0 − (−1/2)) = 1.
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