Calculate the area enclosed by the curves x 2 = 2 - y ,   x 2 = y

Calculate the area enclosed by the curves x2=2-y, x2=y
  1. 23 square units
  2. 43 square units
  3. 83 square units
  4. 113 square units

Solution

x2=2-y, x2=y

Intersection point

⇒2-y=y

⇒y=1

⇒x=±1

A=∫-11[(2-x2)-(x2)]dx

=2∫01(2-2x2)dx

=4x-x3301

=83 square units.

Asked in: AP EAMCET 2020 (23 Sep Shift 1)

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