Q. 33.6( 5 Votes )
Find the area under the curve y=
(above the x-axis) from x=0 to x=2
Answer :
Given the boundaries of the area to be found are,
• The curve 
• The x-axis
• x = 0 (y-axis)
• x = 4 (a line parallel toy-axis)
As per the given boundaries,
• The curve
,is a curve with vertex at 
.
• x=2 is parallel toy-axis at 2 units away from the y-axis.
• x=0 is the y-axis.
• The four boundaries of the region to be found are,
•Point A, where the curve y2 = 6x + 4 and x=0 meet.
•Point B, where the curve y2 = 6x + 4 and x=2 meet.
•Point C, where the x-axis and x=2 meet i.e. C(2,0).
•Point O, or the origin i.e. O(0,0).
Area of the required region = Area of OABC.
[Using the formula 
]
The Area of the required region 
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