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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