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Class 12
Maths :-NCERT Solutions - Application Of Integrals

Page No 366:
Question 9:

Find the area of the region bounded by the parabola x2 and 


Answer:

The area bounded by the parabola, x2 = y,and the line,, can be represented as

The given area is symmetrical about y-axis.

∴ Area OACO = Area ODBO

The point of intersection of parabola, x2 = y, and line, x, is A (1, 1).

Area of OACO = Area ΔOAM – Area OMACO

Area of ΔOAM   

Area of OMACO 

⇒ Area of OACO = Area of ΔOAM – Area of OMACO

Therefore, required area = units