JAMB Mathematics 2000 Question 35

Question 35

Integration

Find the value of ∫0π (cos2θ − 1)/sin2θ dθ

  1. A.π
  2. B.π/2
  3. C.−π/2
  4. D.−π
Show the answer and explanation

Answer: D (−π)

Explanation

cos2θ − 1 = −sin2θ, so the integrand is −1. Integrating −1 from 0 to π gives −π.