Answer: A constant of integration (arbitrary constant).
- A A constant of integration (arbitrary constant)
- B The cosine value evaluated at the upper limit
- C The area enclosed by the curve and the x-axis
- D A free variable that can be replaced by x or t
Correct answer: A. A constant of integration (arbitrary constant)
Explanation: C is the constant of integration. Since d/dx(C) = 0, any constant is lost when differentiating, so we add it back when integrating.
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.