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MHT CET2009MathematicsDefinite Integration

Which of the following is true?

Options

  1. A₀¹ e^ x d x=e
  2. B₀¹ 2^ x d x= 2
  3. C₀¹ x d x= 2 3
  4. D₀¹ x d x= 1 3

Correct answer

C. ₀¹ x d x= 2 3

Step-by-step solution

₀¹ e^ x d x= [e^ x ]₀¹=e-1 (b) ₀¹ 2^ x d x= [ 2^ x _ e 2 ]₀¹= 1 2 (2-2⁰ )= 1 2 (c) ₀¹ x d x= [ x^ 3 / 2 3 / 2 ]₀¹= 2 3 (d) ₀¹ x d x= [ x² 2 ]₀¹= 1 2

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