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JEE Main2004MathematicsDefinite IntegrationActual

If ₀^ x f( x) d x=A ₀^ / 2 f( x) d x , then A is

Options

  1. A0
  2. B4
  3. C2

Correct answer

B. 4

Step-by-step solution

Let I= ₀^ x f( x) d x= ₀^ ( -x) f( x) d x= ₀^ f( x) d x-I ( c e f(2 a-x)=f(x)) I= ₀^ / 2 f( x) d x A=

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