What is the area of the finite region enclosed by the parabola and the line ?
Answer and explanation
Correct answer: C.
- Step 1: Determine points of intersection: and .
- Step 2: On , the parabola lies above the line: .
- Step 3: Set up area integral: .
- Step 4: Evaluate: .
Answer
32/3.
Why not the others: '' omits the linear term; '' integrates over half interval; '' drops fractional parts.
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