JAMB Mathematics 1998 Question 40

Question 40

Integration

Evaluate ∫2π (sec2x − tan2x)dx.

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

Answer: B (π − 2)

Explanation

sec²x − tan²x = 1, so the integral is [x] from 2 to π = π − 2.