The image presents a mathematical problem involving integration with a graph for visual reference. The problem is as follows:What is the value of \( \int_{4}^{10} F'(x) \, dx \)?The graph displayed is a plot of the function \( F(x) \) with \( x \) along the horizontal axis and \( F(x) \) along the vertical axis. It is laid on a grid with increments marked.- The graph shows an increasing curve starting at approximately \( F(1) = 9 \) and reaching a peak at around \( x = 8 \) with \( F(8) = 22 \). - The curve then slightly declines, showing \( F(10) = 18 \).This setup suggests that the integral of the derivative \( F'(x) \) over the interval from 4 to 10 can be understood as the net change in \( F(x) \) between these points. Given the values:- \( F(10) = 18 \)- \( F(4) = 12 \)The value of the integral \( \int_{4}^{10} F'(x) \, dx \) would be the change in \( F(x) \) over this interval, calculated as:\[F(10) - F(4) = 18 - 12 = 6\]Therefore, the value of the integral is 6.

Name: The image presents a mathematical problem involving integration with
Uploaded: 2024-03-20T06:46:42.000Z
Channel: Bartleby
Description: The image presents a mathematical problem involving integration with a graph for visual reference. The problem is as follows:What is the value of \( \int_{4}^{10} F'(x) \, dx \)?The graph displayed is a plot of the function \( F(x) \) with \( x \) a