Find the area of the region bounded by the curve y^{2} = 4x and the line x = 3.

It is given that the region bounded by parabola, y^{2} = 4x and the line x = 3.

From the figure we can see that the required is OACO.

We can observed that the area OACO is symmetrical about x –axis.

Thus, Area of OACO = 2(Area of OAB)

So, Area OACO

Therefore, the required area is

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