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Evaluate the definite integral ∫₋₂³ |1-x²| dx.

1. (1)/(3)
2. (14)/(3)
3. (7)/(3)
4. (28)/(3)

Correct answer: (28)/(3)

Solution

The integral evaluates the area under the curve of the function |1 - x²| from -2 to 3. The function changes behavior at the points where 1 - x² = 0, leading to two distinct regions to integrate, resulting in a total area of (28)/(3).

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