The area bounded by the line \(y = 2x\), X-axis and the lines \(x = -1\), \(x = 4\) is _____ sq. units.
Q.1 (vii) The area bounded by the line \(y = 2x\), X-axis and the lines \(x = -1\), \(x = 4\) is _____ sq. units.
A. 15
B. 17
C. 16
D. 14
1 answer
Best answer
Answer: B. 17
Answer: (b) 17
The line is below the X-axis for \(-1 \le x \lt 0\) and above it for \(0 \lt x \le 4\), so the two parts are added as positive areas.
Area \(= \left|\int_{-1}^{0} 2x\,dx\right| + \int_{0}^{4} 2x\,dx = \left|\left[x^2\right]_{-1}^{0}\right| + \left[x^2\right]_{0}^{4} = 1 + 16 = 17\) sq. units.
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· 28 Oct 2026
AI-verified · Oct 2026
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