Answer: sin⁻¹x + C.
- A sin⁻¹x + C
- B cos⁻¹x + C
- C tan⁻¹x + C
- D sec⁻¹x + C
Correct answer: A. sin⁻¹x + C
Explanation: Standard integral: integral of 1/√(1-x²) = sin⁻¹x + C.
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.