Find the area of the region bounded by x2 = 16y, y = 1, y = 4 and the y – axis in the first quadrant.

To find the area under two or more than two curves, the first crucial step is to find the INTERSECTION POINTS of the curves.
![]()
![]()
![]()
Between Curve A and Line C
![]()
![]()
Between Curve A and Line B
![]()
![]()
![]()
Required Area can be calculated by breaking the problem into two parts.
I. Calculate Area under the curve A and Line B.
II. Subtract the area enclosed by curve A and Line C from the above area.
I.
= Area under B and A

![]()
II.
= Area under C and A

![]()
The required area under the curve
![]()