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Question

Question: The area of the region bounded between the curve \|y\| = 1 – x<sup>2</sup> is...

The area of the region bounded between the curve |y| = 1 – x2 is

A

2/3

B

4/3

C

8/3

D

None of these

Answer

8/3

Explanation

Solution

y = (1 – x2) = –(x – 1)(x + 1)

Required area = 211(1x2)2 \int _ { - 1 } ^ { 1 } \left( 1 - x ^ { 2 } \right) dx