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Find the Area Between the Curves Y = X and Y = X2

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Question

Find the area between the curves y = x and y = x2

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Solution

The required area is represented by the shaded area OBAO as

The points of intersection of the curves, y = x and y = x2, is A (1, 1).

We draw AC perpendicular to x-axis.

∴ Area (OBAO) = Area (ΔOCA) – Area (OCABO) … (1)

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Chapter 8: Application of Integrals - Exercise 8.3 [Page 375]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 8 Application of Integrals
Exercise 8.3 | Q 2 | Page 375

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