Answer: x/2 - sin(2x)/4 + C.
- A x/2 - sin(2x)/4 + C
- B x - sin(2x)/2 + C
- C x/2 + cos(2x)/4 + C
- D -cos(2x)/4 + C
Correct answer: A. x/2 - sin(2x)/4 + C
Explanation: sin²x = (1-cos2x)/2. Integrate: x/2 - sin(2x)/4 + 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.