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MHT CET202415 May 2024Evening ShiftMathematicsDefinite IntegrationActual

_ 3 ^ 2 1+ x (1- x)^ 5 2 d x=

Options

  1. A1 2
  2. B-1 2
  3. C3 2
  4. D-3 2

Correct answer

C. 3 2

Step-by-step solution

Let aligned I & = _ / 3 ^ / 2 1+ x (1- x)^ 5 2 d x & = _ / 3 ^ / 2 1+ x (1- x)^ 5 2 1- x 1- x d x & = _ / 3 ^ / 2 x (1- x)^3 d x aligned array ll & Put 1- x= t & x ~d x= dt & I = _ 1 / 2 ^1 dt t ^3 = [ t ⁻² -2 ]_ 1 / 2 ^1= 3 2 array

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