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Question

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

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Solution

Let AB represents the line x=3 and AOB represent the curve y2=4x.
Area of AOBC = 2×ar(AOC)
=2×30ydx
We know,
y=4x
y=±2x
As AOC is in 1st quadrant, y=2x
Therefore, area of AOBC = 2×302xdx

=430xdx

=83[33/20]

=83
Therefore, required area = 83 sq.units

1334440_1112374_ans_1cb79d9bab464ee7848ea234cd0e5cd6.jpg

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