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JAMB Mathematics 2002 Question 10

Question 10

Integration

Evaluate ∫sin 3x dx

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

Answer: C (−(1/3)cos 3x + c)

Explanation

The integral of sin ax is −(1/a)cos ax. With a = 3 this is −(1/3)cos 3x + c.