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MHT CET202312 May 2023Morning ShiftMathematicsIndefinite IntegrationActual

x^2+1 x (x^2-1 ) d x=

Options

  1. Ax (x^2-1 )+ c , where c is a constant of integration.
  2. B( x^2-1 x )+ c , where c is a constant of integration.
  3. C(x^2-1 )+ c , where c is a constant of integration.
  4. D( x^2+1 x )+ c , where c is a constant of integration.

Correct answer

B. ( x^2-1 x )+ c , where c is a constant of integration.

Step-by-step solution

aligned & Let I = x^2+1 x (x^2-1 ) d x & = x^2+1 x^2-1 x ~d x & Let t = x^2-1 x dt = x^2+1 x^2 ~d x & I = 1 t dt = ( t )+ c = ( x^2-1 x )+ c aligned

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