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Answer: C. \(\dfrac{17}{2}\)

Answer: (c) \(\dfrac{17}{2}\) sq. units

The line is below the X-axis for \(-1 \lt x \lt 0\) and above it for \(0 \lt x \lt 4\), so the two parts are added separately:

Area \(= \left|\int_{-1}^{0} x\,dx\right| + \int_0^4 x\,dx = \frac12 + 8 = \frac{17}{2}\) sq. units.

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report
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