Answer: ln|x| + C.
- A x + C
- B 1 + C
- C ln|x| + C
- D 1/x² + C
Correct answer: C. ln|x| + C
Explanation: Integral of 1/x = ln|x| + C. This is the exception to the power rule (n = -1).
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.