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Application of Integrals
Xam Idea
CBSE
Grade 12

Question:

Area of region bounded by parabola $y^2 = 4x$ and line $x = 3$ is:
(a) $8\sqrt{3}$ sq units
(b) $4\sqrt{3}$ sq units
(c) $16\sqrt{3}$ sq units
(d) $12\sqrt{3}$ sq units

Step-by-Step Solution

Key Concept: 2 * \int_0^3 2\sqrt{x} dx = 4 * [2/3 x^{3/2}]_0^3 = 8\sqrt{3}.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $8\sqrt{3}$ sq units
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