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AP EAMCET202022 Sep 2020Evening ShiftMathematicsDefinite IntegrationActual

(1+x) e^x (x e^x ) d x=

Options

  1. A( (x e^x ) )+c
  2. B( (x e^x ) )+c
  3. C( (x e^x ) )+c
  4. D( cosec (x e^x ) )+c

Correct answer

C. ( (x e^x ) )+c

Step-by-step solution

(1+x) e^x (x e^x ) d x Put, x e^x=t Differentiate w.r.to, x aligned e^x(1+x) d x & =d t & = d t t = t d t & = ( t)+c & = ( (x e^x ) )+c aligned Hence option (3) is correct.

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