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NTA Abhyas JEE Main2020MathematicsDefinite IntegrationPractice

The value of the integral ∫ - 4 4 e x x d x is equal to (where . denotes the fractional part function)

Options

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

Correct answer

C. e 4 - 1

Step-by-step solution

Let, I = ∫ - 4 4 e x x d x I = ∫ 0 4 e x x + - x d x I = ∫ 0 4 e x d x = e 4 - 1

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