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WAEC Further Mathematics 2016 Question 30

Question 30

Integration

Find an expression for y given that dy/dx = x2√x

  1. A.(1/7)x2/7 + c
  2. B.(2/7)x3/2 + c
  3. C.(2/7)x7/2 + c
  4. D.(3/7)x3/2 + c
Show the answer and explanation

Answer: C ((2/7)x7/2 + c)

Explanation

x²√x = x^(5/2), so y = x^(7/2)/(7/2) + c = (2/7)x^(7/2) + c.