Final answer:
To find the average value of 1/x on the interval [1, 3], we can integrate the function 1/x over the interval and divide by the length of the interval. The integral of 1/x is ln(x). Simplifying this expression gives us the average value of 1/x on the closed interval [1, 3].
Step-by-step explanation:
The average value of 1/x on the closed interval [1, 3] can be found by integrating the function 1/x over the interval and then dividing by the length of the interval.
To integrate 1/x, we can use the natural logarithm function. The integral of 1/x is ln(x). So, the average value of 1/x is:
Average value of 1/x = (1/3 * ln(3)) - (1/1 * ln(1))
Simplifying this expression gives us the average value of 1/x on the closed interval [1, 3].