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



It is given that the region bounded by parabola, y2 = 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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