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NTA Abhyas JEE Main2020MathematicsArea Under CurvesPractice

The area (in sq. units) of the region bounded by the curves y = 2 - x 2 and y = x is k , then the value of 3 k is

Correct answer

7

Step-by-step solution

2 - x 2 = x x 2 + x - 2 = 0 x ≠ - 2 x = 1 Required area = 2 ∫ 0 1 2 - x 2 - x d x ⇒ k = 2 2 x - x 3 3 - x 2 2 0 1 ⇒ k = 2 2 - 1 3 - 1 2 = 7 3 s q . u n i t ⇒ 3 k = 7

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