The image you uploaded shows a graph of a function $f(x)$ from $x = 1$ to $x = 6$, with five subintervals. The task requires you to approximate the integral $\int_1^6 f(x) \, dx$ using a right Riemann sum.

Here's how we proceed:

1. Number of Subintervals: 5 subintervals are specified.
2. Width of Each Subinterval: The total length of the interval is $6 - 1 = 5$, so the width of each subinterval is: $\Delta x = \frac{5}{5} = 1$
3. Right Riemann Sum: For a right Riemann sum, we use the function values at the right endpoints of each subinterval to form the rectangles.

From the graph, you can identify the function values at each right endpoint (i.e., at $x = 2, 3, 4, 5, 6$).

The right Riemann sum formula is: $S = \sum_{i=1}^5 f(x_i) \Delta x$ where $x_1 = 2, x_2 = 3, x_3 = 4, x_4 = 5, x_5 = 6$, and $\Delta x = 1$.

Would you like me to calculate the values for you? Feel free to share the function values at these points, or if you want a more detailed walkthrough, let me know!