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NDA2019MathematicsDefinite IntegrationActual

₀^ 2 e^ x x d x is equal to

Options

  1. Ae +1
  2. Be -1
  3. Ce +2
  4. De

Correct answer

B. e -1

Step-by-step solution

₀^ 2 e^ x x d x Let x = t x . dx = dt aligned & ₀^ 2 e^ x x d x= ₀^1 e^t d t & = (e^t )₀^1= e ^1- e ^0= e -1 aligned

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