Given the boundaries of the area to be found are,

• The curve y = x²

• The x-axis

• x = 1 (a line parallel toy-axis)

• x = 3 (a line parallel toy-axis)

As per the given boundaries,

• The curve y = x², has only the positive numbers as x has even power, so it is about the y-axis equally distributed on both sides.

• x= 1 and x=3 are parallel toy-axis at of 1 and 3 units respectively from the y-axis.

• The four boundaries of the region to be found are,

•Point A, where the curve y = x² and x=3 meet

•Point B, where the curve y = x² and x=1 meet

•Point C, where the x-axis and x=1 meet i.e. C(1,0).

•Point D, where the x-axis and x=3 meet i.e. D(3,0).

Area of the required region = Area of ABCD.

[Using the formula]

The Area of the required region