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AP EAMCET202018 Sep 2020Morning ShiftMathematicsDefinite IntegrationActual

( ₀^ / 2 e^ x x d x= )

Options

  1. A(1-e )
  2. B(1+e )
  3. C(e-1 )
  4. D(e )

Correct answer

C. (e-1 )

Step-by-step solution

(I= ₀^ / 2 e^ x x d x ) Put ( x=t ), then at (x=0, t=0 ) and at (x= 2 , t=1 ) and ( x d x=d t ) So, (I= ₀^1 e^t d t= [e^t ]₀^1=e^1-1=e-1 )

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