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MHT CET202416 May 2024Evening ShiftMathematicsIndefinite IntegrationActual

x^3-7 x+6 x^2+3 x ~d x=

Options

  1. Ax^2 2 +3 x- |x|+ c , where c is a constant of integration.
  2. Bx^2 2 +3 x+2 |x|+ c , where c is a constant of integration.
  3. Cx^2 2 -3 x+2 |x|+ c , where c is a constant of integration.
  4. Dx^2 2 -3 x- |x|+ c , where c is a constant of integration.

Correct answer

C. x^2 2 -3 x+2 |x|+ c , where c is a constant of integration.

Step-by-step solution

aligned Let I & = x^3-7 x+6 x^2+3 x & = (x-3+ 2 x+6 x^2+3 x ) d x & = (x-3+ 2(x+3) x(x+3) ) d x & = (x-3+ 2 x ) d x & = x^2 2 -3 x+2 |x|+ c aligned

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