OAU Post-UTME Mathematics 2011 Question 17

Question 17

Integration

Find the value of ∫0π/2(2π + 2cos 2x)dx

  1. A.π2 + 1
  2. B.π2
  3. C.π2 − 4
  4. D.π2 + 3
Show the answer and explanation

Answer: B (π2)

Explanation

The integral is 2πx + sin 2x. At π/2: π² + sin π = π². At 0: 0. Answer π².