Integral of a linear expression and a function from its derivative and one known value

Integral of a linear expression and a function from its derivative and one known value

6 marks
  1. Find \(\displaystyle\int(8x-5)\,\mathrm{d}x\).[3]
  2. The function \(f\) is such that \(f'(x)=8x-5\) and \(f(2.5)=13.6\). Find an expression for \(f(x)\).[3]

Solution:

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Answer:(a) \(4x^2-5x+C\) (b) \(f(x)=4x^2-5x+1.1\)

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