Answer: π/4.
- A π/2
- B π/4
- C 1
- D π/3
Correct answer: B. π/4
Explanation: Using the King property I = ∫ 1/(1+cotx), and adding gives 2I = π/2, so I = π/4.
The exact area under the curve from a to b (shaded) is approximated by a few rectangles, the Riemann sum idea behind the definite integral.