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Area Under the Curve

Area Between Two Curves

JEE Main 2020

Grade 12

Question:

The area of the region bounded by the parabola $y^2 = 4x$ and the line $y = x$ is:

(1) $\frac{8}{3}$

(2) $\frac{16}{3}$

(3) $\frac{4}{3}$

(4) $\frac{32}{3}$

Step-by-Step Solution

Key Concept: Find the points of intersection of $y^2 = 4x$ and $y = x$, then integrate $(2\sqrt{x} - x)$ between these limits.

The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.

Correct Answer: (1)