Mathematics Part-II

Book: Mathematics Part-II

Chapter: 8. Application of Integrals

Subject: Maths - Class 12th

Q. No. 9 of Exercise 8.1

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9

Find the area of the region bounded by the parabola y = x2 and y=|x|.


It is given that the area of the region bounded by the parabola y = x2 and y = |x|.


Now, we can observed that the given area is symmetrical about y-axis.


Area OACO = Area ODBO


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


Thus, Area OACO = Area ΔOAM – Area OMACO


Now, Area of ΔOAM =


Area of OMACO =



Area OACO = Area ΔOAM – Area OMACO


=


Therefore, the required area is


9

Chapter Exercises

More Exercise Questions

1

Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the x-axis in the first quadrant.