Answer: (2/3)x3/2 + C.
- A 2√x + C
- B x³/2 + C
- C (2/3)x3/2 + C
- D (1/2)x1/2 + C
Correct answer: C. (2/3)x3/2 + C
Explanation: sqrt(x) = x1/2. Integral = x3/2/(3/2) = (2/3)x3/2 + 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.