Evaluate ∫[-1 to 2] |x| dx.
Evaluate ∫[-1 to 2] |x| dx.
- A. 5/2
- B. 3/2
- C. 2
- D. 3
Answer: A) 5/2
Explanation: Split at 0: ∫[-1 to 0] -x dx + ∫[0 to 2] x dx = [-x²/2] from -1 to 0 + [x²/2] from 0 to 2 = (0 - (-1/2)) + (2 - 0) = 1/2 + 2 = 5/2.
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