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BITSAT2012MathematicsDefinite IntegrationActual

₀^ / 2 2^ x 2^ x +2^ x d x equals

Options

  1. A2
  2. B/ 4
  3. C/ 2

Correct answer

C. / 2

Step-by-step solution

I = ₀^ / 2 2^ x 2^ x +2^ x dx I = ₀^ / 2 2^ ( / 2- x ) 2^ ( / 2- x ) +2^ ( / 2- x ) dx = 2^ x 2^ x +2^ x dx 21= ₀^ / 2 ~d x = 2 1= 4

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