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BITSAT2023MathematicsDefinite IntegrationActual

₀^ / 4 x e^ x d x is equal to

Options

  1. Ae+1
  2. Be-1
  3. Ce
  4. D-e

Correct answer

B. e-1

Step-by-step solution

Suppose, I= ₀^ / 2 x e^ x d x Let x=t x d x=d t x 0 t 0 and x 2 t 1 So I= ₀^1 e^t d t= [e^t ]₀^1=e-1

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