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AP EAMCET202422 May 2024Evening ShiftMathematicsDefinite IntegrationActual

_ -2 ^2 (4-x^2 )^ 5 2 d x=

Options

  1. A40
  2. B20
  3. C5 32
  4. D5 32

Correct answer

B. 20

Step-by-step solution

I= _ -2 ^2 (4-x^2 )^ 5 / 2 d x=2 ₀^2 (4-x^2 )^ 5 2 d x Let x=2 d x=2 d aligned & I=2 ₀^ 2 2 (4-4 ^2 )^ 5 2 d =128 ₀^ 2 ^6 d & I=128 5 3 1 6 4 2 2 =20 aligned

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