Answer: (1/2)ln 2.
- A ln 2
- B (1/2)ln 2
- C (1/2)ln(1/2)
- D 1/2
Correct answer: B. (1/2)ln 2
Explanation: The antiderivative is (1/2)ln(1 + x²); evaluating from 0 to 1 gives (1/2)ln 2.
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.