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Class 12 Integrals · Mcq Single Correct1 Marksintegration

Class 12 Maths · Integrals · Mcq Single Correct #21

Evaluate \(\int_0^2\sqrt{4-x^2}\,dx\).
Integral as a quarter-disk area. y = √(4−x²), 0 ≤ x ≤ 2. Radius 2; area π.
Integral as a quarter-disk area. y = √(4−x²), 0 ≤ x ≤ 2. Radius 2; area π.

✅ Step-by-Step Solution

Final Answer: Option (D): π
  1. This is the area of a quarter disk of radius 2: π·2²/4=π.

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