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NDA2021MathematicsDefinite IntegrationActual

If f(x) satisfies f( l )=f(4) , then what is ₁^4 f^ (x) d x equal to?

Options

  1. A-1
  2. B0
  3. C1
  4. D2

Correct answer

B. 0

Step-by-step solution

Here, f(x) satisfies f(1)=f(4) aligned & ₁^4 f^ (x) d x= ₁^4 d d x f(x) d x & = ₁^4 d f(x)=[f(x)]₁^4 & =f(4)-f(1) & =0 & [ f(1)=f(4)] aligned

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