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Most Important Selected Qs for JEE AdvancedMathematicsDefinite Integration

If f(x) is a continuous function in [0, ] such that f(0)=f( )=0 then the value of ₀^ / 2 (f(2 x)+f^ (2 x) ) x x d x is equal to

Options

  1. A2
  2. B3
  3. Cnone of these

Correct answer

3

Step-by-step solution

I= 1 4 ₀^ (f(z)+f^ (z) ) z d z= 1 4 (f( )+f(0))=0

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