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JEE Main2013MathematicsIndefinite IntegrationActual

If d x x+x^7 =p(x) then, x^6 x+x^7 d x is equal to:

Options

  1. A|x|-p(x)+c
  2. B|x|+p(x)+c
  3. Cx-p(x)+c
  4. Dx+p(x)+c

Correct answer

A. |x|-p(x)+c

Step-by-step solution

x^6 x+x^7 d x= x^6 x (1+x^6 ) d x= (1+x^6 )-1 x (1+x^6 ) d x= 1 x d x- 1 x+x^7 d x= |x|-p(x)+c

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