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WAEC Further Mathematics 2015 Question 29

Question 29

Integration

Find ∫ (x3 + 5x + 1)/x3 dx.

  1. A.x2 + 10x + c
  2. B.x + (5/3)x3 + x4 + c
  3. C.x − 5x2 − 2x2 + c
  4. D.x − 5/x − 1/(2x2) + c
Show the answer and explanation

Answer: D (x − 5/x − 1/(2x2) + c)

Explanation

∫(1 + 5x⁻² + x⁻³) dx = x − 5/x − 1/(2x²) + c.