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WAEC Further Mathematics 2013 Question 14

Question 14

Integration

Given that dy/dx = √x, find y.

  1. A.2x3/2 + c
  2. B.(2/3)x3/2 + c
  3. C.−½ ≤ x ≤ 3
  4. D.(2/3)x2 + c
Show the answer and explanation

Answer: B ((2/3)x3/2 + c)

Explanation

y = ∫x^½ dx = x^(3/2)/(3/2) + c = (2/3)x^(3/2) + c.