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AP EAMCET202422 May 2024Evening ShiftMathematicsDefinite IntegrationActual

_ -5 ^ 5 (1- 2 x)^ 5 2 d x=

Options

  1. A64 2 5
  2. B128 2 5
  3. C256 2 3
  4. D128 2 3

Correct answer

D. 128 2 3

Step-by-step solution

aligned I & = _ -5 ^ 5 (1- 2 x)^ 5 2 d x=2 ₀^ 5 (2 ^2 x )^ 5 2 d x I & =(2)^3 2 ₀^ 5 ^5 x d x aligned Let x 10 = I =10(2)^3 2 ₀^ 2 ^5 10 d =10(2)^3 2 4 2 5 3 = 128 2 3

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