Question
Find the area of the region included between the parabola 
Solution
The equations of the given curves are
...(1)
and
...(2)
From (2),
Putting this value of y in (1), we get,
curves (1) and (2) intersect in points A (4, 12) and B(-2, 3).
From A. draw AM ⊥ x -axis and from B, draw BN ⊥ x-axis.
Required area = area of trapezium BNMA - (area BNO + area OMA)
...(1)and
...(2)From (2),
Putting this value of y in (1), we get,
curves (1) and (2) intersect in points A (4, 12) and B(-2, 3).From A. draw AM ⊥ x -axis and from B, draw BN ⊥ x-axis.
Required area = area of trapezium BNMA - (area BNO + area OMA)
