Q26 of 29 Page 1

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

Let AB represent the line x = 3 and AOB represent the curve y2 = 4x.



Area of AOBC = 2 × (Area of AOC)



We know that y2 = 4x



As AOC is in first quadrant,


⇒ y = 2√x


Area of AOBC





= 8√3


Therefore, required area = 8√3 square units.


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