passwella.
Menu

JAMB Mathematics 2001 Question 38

Question 38

Integration

Evaluate ∫2(2x − 3)2/3 dx.

  1. A.2x − 3 + k
  2. B.2(2x − 3) + k
  3. C.(6/5)(2x − 3)5/3 + k
  4. D.(3/5)(2x − 3)5/3 + k
Show the answer and explanation

Answer: D ((3/5)(2x − 3)5/3 + k)

Explanation

Raise the power by one to 5/3 and divide by 5/3 and by the inner derivative 2: 2 × (2x − 3)5/3 ÷ (5/3 × 2) = (3/5)(2x − 3)5/3 + k.