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MHT CET20228 Aug 2022Evening ShiftMathematicsIndefinite IntegrationActual

The value of 2 x^3-1 x^4+x ~d x is equal to (where C is a constant of integration.)

Options

  1. A1 2 (x^3+1 )^2 x^3 +C
  2. B(x^3+1 ) x +C
  3. C( x^3+1 x^2 )+C
  4. D1 2 (x^3+1 ) x^2 +C

Correct answer

B. (x^3+1 ) x +C

Step-by-step solution

aligned & 2 x^3-1 x^4+x ~d x= 2 x^3-1 x (x^3+1 ) d x= ( 3 x^2 x^3+1 - 1 x ) d x & = (x^3+1 )- x+c & = ( x^3+1 x )+c aligned

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