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MHT CET202014 Oct 2020Morning ShiftMathematicsIndefinite IntegrationActual

If x^ x (1+ x) d x=k x^ x +c , then k=

Options

  1. A_ e e
  2. B_ e ( 1 e² )
  3. C_ e (e² )
  4. D_ e ( 1 e )

Correct answer

A. _ e e

Step-by-step solution

Let I= x^ x (1+ x) d x Put x^ x =t e^ x x =t e^ x x (1+ x) d x=d t x^ x (1+ x) d x=d t Thus, I= d t=t+c I=x^ x +c Comparing with given data, we write k=1= _ e e

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