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MHT CET202123 Sep 2021Evening ShiftMathematicsIndefinite IntegrationActual

e ^ ( e ^ x + x ) dx =

Options

  1. Ae ^ x + x + c
  2. Be ^ ( e ^ x ) x + cd
  3. Ce ^ ( e ^ x ) + c
  4. De ^ ( e ^ x ) ( e ^ x -1 )+ c

Correct answer

C. e ^ ( e ^ x ) + c

Step-by-step solution

I= e^ e^x+x d x= e^ e^x e^x d x Put e ^ x = t e ^ x dx = dt I = e ^ t dt = e ^ t + c = e ^ e ^ x + c

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