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KVPY2017MathematicsDefinite Integration

The number of continuous functions f :[0,1] R that satisfy

Options

  1. A0
  2. B1
  3. C2
  4. Dinfinity

Correct answer

B. 1

Step-by-step solution

Given equation can be written as - 1 3 = ₀¹ ( f ( x ) 2 - x )² dx - ₀¹ x ² dx array l ₀¹ x² d x 1 3 = ₀¹ ( f(x) 2 -x )² d x 0= ₀¹ ( f(x) 2 -x )² d x array So, no of continuous function is 1 .

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