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MHT CET202411 May 2024Morning ShiftMathematicsIndefinite IntegrationActual

The value of ^3 x ^2 x+ x ~d x is

Options

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

Correct answer

A. ( x)- x+ c , where c is a constant of integration.

Step-by-step solution

aligned & I= (1- ^2 x ) x x(1+ x) d x & = 1- x x x d x aligned Put t= x x d x=d t So, I= ( 1 t -1 ) d t aligned & = t-t+C & I= x- x+C aligned

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