Q.12 Find the area of the region bounded by the curve y = x² , and the lines x = 1 , x = 2 and y = 0 .

Answer: 7/3 sq. units Required area = ∫₁² y dx = ∫₁² x² dx = [x³/3]₁² = 8/3 - 1/3 = 7/3 sq. units.

Find the area of the region bounded by the curve \(y = x^2\), and the lines \(x = 1\), \(x = 2\) and \(y = 0\).

Q.12 Find the area of the region bounded by the curve \(y = x^2\), and the lines \(x = 1\), \(x = 2\) and \(y = 0\).

Doubtly Asked 29 Oct 2026 Board exam · March 2024 hsc 12th Save WhatsApp Report

Best answer

Answer: \(\frac{7}{3}\) sq. units

Required area \(= \int_1^2 y\,dx = \int_1^2 x^2\,dx = \left[\frac{x^3}{3}\right]_1^2 = \frac{8}{3} - \frac{1}{3} = \frac{7}{3}\) sq. units.

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report

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