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Area between x=g(y) and y Axis

Find the area...

Question

Find the area of the region bounded by the curve y² = 4x and the line x = 3

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Solution

The region bounded by the parabola, y² = 4x, and the line, x = 3, is the area OACO.

The area OACO is symmetrical about x-axis.

∴ Area of OACO = 2 (Area of OAB)

Therefore, the required area is units.

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