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MHT CET202019 Oct 2020Evening ShiftMathematicsDefinite IntegrationActual

₀¹ (1- x 1 ! + x² 2 ! - x³ 3 ! + . upto . ) e^ 2 x d x=

Options

  1. Ae²
  2. Be-1
  3. Ce+1
  4. De

Correct answer

B. e-1

Step-by-step solution

(B) ₀¹ (1- x 1 ! + x² 2 ! - x³ 3 ! + ) e^ 2 x d x= ₀¹ e^ -x e^ 2 x d x= ₀¹ e^ x d x= [e^ x ]₀¹=e¹-e⁰=e-1

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