The area (in sq. units) of the region enclosed by the curves y = x 2 - 1 and y = 1 - x 2 is equal to:

The area (in sq. units) of the region enclosed by the curves y=x2-1 and y=1-x2 is equal to:
  1. 43
  2. 83
  3. 72
  4. 163

Solution

  

Given curves are

y=x2-1

and

y=1-x2

so intersection point are ±1,0

∴ bounded area

=4∫011-x2dx

=4x-x3301

=41-1383 sq·units

Asked in: JEE Main 2020 (06 Sep Shift 2)

Practice more Area Under Curves questions on Aicharya