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Area Under the Curves question

2020 · 5 Sep · Shift 2 · Q27
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  5. /2020 · 5 Sep · Shift 2 · Q27

Area Under the Curves question

2020 · 5 Sep · Shift 2 · Q27

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1
The area (in sq. units) of the region A = {(x, y) : (x – 1)[x] ≤\le≤ y ≤\le≤ 2 x\sqrt xx​, 0 ≤\le≤ x ≤\le≤ 2}, where [t] denotes the greatest integer function, is :
  1. A
    832−1{8 \over 3}\sqrt 2 - 138​2​−1
  2. B
    432+1{4 \over 3}\sqrt 2 + 134​2​+1
  3. C
    832−12{8 \over 3}\sqrt 2 - {1 \over 2}38​2​−21​
  4. D
    432−12{4 \over 3}\sqrt 2 - {1 \over 2}34​2​−21​
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