JAMB Mathematics 2005 Question 41

Question 41

Integration

Evaluate ∫0π/2 sin 2x dx.

  1. A.1
  2. B.0
  3. C.−½
  4. D.−1
Show the answer and explanation

Answer: A (1)

Explanation

∫ sin 2x dx = −½ cos 2x. From 0 to π/2: −½(cos π − cos 0) = −½(−1 − 1) = 1.