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NDA2021MathematicsDefinite IntegrationActual

If f(x)=2^x , then what is ₂¹⁰ f^ (x) f(x) d x equal to?

Options

  1. A4 2
  2. B4
  3. C5
  4. D8 2

Correct answer

D. 8 2

Step-by-step solution

aligned & Let f(x)=2^x & f^ (x)=2^x _e(2) & Now ₂¹⁰ f^ (x) f(x) d x= ₂¹⁰ 2^x _e(2) 2^x d x & = _e(2)[x]¹⁰ & =8 _e(2) aligned

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