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If , such that f(0) = 0 and f(3) = 15. Find the value of k.

  1. 5 / 3
  2. 3 / 5
  3. – 5 / 3
  4. – 3 / 5

Answer (Detailed Solution Below)

Option 3 : – 5 / 3
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Detailed Solution

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Concept:

Integration is the inverse process of differentiation and therefore it is called anti-differentiation.

i.e If g (x) = f’(x) then 

Calculation:

Given: , such that f(0) = 0 and f(3) = 15.

Now, by integrating f’(x), we get

As it is given that, f(0) = 0 and f(3) = 15.

⇒ k = - 5 / 3

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