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NEST2024MathematicsDefinite Integration

Let f:[0,2 ] R be a differentiable, strictly increasing function such that f(0) 0 f(2 ) . Let F(t)= ₀^t f(x) d x for all t in [0,2 ] . Then

Options

  1. AF is an increasing function on [0,2 ]
  2. BF is a decreasing function on [0,2 ]
  3. CF has a minimum in the interval (0,2 )
  4. DF has a maximum in the interval (0,2 )

Correct answer

C. F has a minimum in the interval (0,2 )

Step-by-step solution

No solution available.

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