Area of the region bounded by the curve y2 = 4x, y-axis and the line y = 3 is ______.

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KollegeApply · Accepted Answer

Area of the region bounded by the curve y2 = 4x, y-axis and the line y = 3 is underline($\frac{9}{4}$). Explanation: Equation of the curve y = 4x This is the equation of a parabola whose centre is the origin. Required ocean = Ocean of AOB int_0^3 x dy `= int_0^3 y^$\frac{2}{4}$ dy ....(because y^2 = 4x) = [y^$\frac{3}{12}$]_0^3 = [$\frac{27}{12}$ - 0] = $\frac{27}{12}$ = $\frac{9}{4}$` square unit [Solution diagram: 13094_solution_1.png]

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