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NDA2010MathematicsIndefinite IntegrationActual

If x^2 x d x= x^2 m x+ x^3 n +c , then what are the values of m and n respectively? where c is a constant of integration.

Options

  1. A1 / 3,-1 / 9
  2. B3,-9
  3. C3,9
  4. D3,3

Correct answer

B. 3,-9

Step-by-step solution

aligned & x^2 x d x= x^3 m x+ x^3 n +c & x^2 3 x- 1 x x^3 3 d x= x^3 3 x+ x^3 9 +c aligned On comparing. m=3, n=-9

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