The area enclosed by the curve y = √|x|, x = −1 and x = 1 is:
The area enclosed by the curve y = √|x|, x = −1 and x = 1 is:
- A. 4/3 sq units
- B. 2/3 sq units
- C. 8/3 sq units
- D. 1 sq unit
Answer: A) 4/3 sq units
Explanation: By symmetry, area = 2 × ∫[0 to 1] √x dx = 2 × (2/3)[x^(3/2)]₀¹ = 4/3 sq units.
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