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AP EAMCET202420 May 2024Evening ShiftMathematicsDefinite IntegrationActual

_ -1 / 24 ^ 1 / 24 x ( 1-x 1+x ) d x=

Options

  1. A2
  2. B1
  3. C0

Correct answer

3

Step-by-step solution

I= _ -1 24 ^ 1 24 ( 1-x 1+x ) d x aligned & f(x)= x ( 1-x 1+x ) & f(-x)= (-x) ( 1+x 1-x ) & f(-x)= (x) ( 1-x 1+x )⁻¹ & f(-x)=- (x) ( 1-x 1+x ) & f(-x)=-f(x) & I =0 aligned

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