Answer:
The stem and leaf plot is not shown, so I will answer the question in a general way.
Suppose you have the following stem and leaf plot
I 2 I 0 5 8
I 3 I 4 4 7 8
I 4 I 0
Then, the data is: 20, 25, 28, 34, 34, 37, 38, 40. In consequence, one department stores has exactly 37 pairs of glasses. But if your stem and leaf plot is:
I 2 I 0 5 8
I 3 I 7 7 7 8
I 4 I 0
then, three department stores have 37 pairs of glasses, and none of them have 34 pairs of glasses.
It looks like you are trying to compute the improper integral,
![I = \displaystyle\int_1^\infty \dfrac{\mathrm dx}{x(9+\ln^2(x))}](https://tex.z-dn.net/?f=I%20%3D%20%5Cdisplaystyle%5Cint_1%5E%5Cinfty%20%5Cdfrac%7B%5Cmathrm%20dx%7D%7Bx%289%2B%5Cln%5E2%28x%29%29%7D)
or some flavor of this. If this interpretation is correct, substitute <em>u</em> = ln(<em>x</em>) and d<em>u</em> = d<em>x</em>/<em>x</em>. Then
![I = \displaystyle\int_0^\infty \dfrac{\mathrm du}{9+u^2} \\\\ = \frac13\arctan\left(\frac u3\right)\bigg|_{u=0}^{u\to\infty} \\\\ = \frac13\lim_{u\to\infty}\arctan\left(\frac u3\right) \\\\ = \frac13\times\frac\pi2 = \boxed{\frac\pi6}](https://tex.z-dn.net/?f=I%20%3D%20%5Cdisplaystyle%5Cint_0%5E%5Cinfty%20%5Cdfrac%7B%5Cmathrm%20du%7D%7B9%2Bu%5E2%7D%20%5C%5C%5C%5C%20%3D%20%5Cfrac13%5Carctan%5Cleft%28%5Cfrac%20u3%5Cright%29%5Cbigg%7C_%7Bu%3D0%7D%5E%7Bu%5Cto%5Cinfty%7D%20%5C%5C%5C%5C%20%3D%20%5Cfrac13%5Clim_%7Bu%5Cto%5Cinfty%7D%5Carctan%5Cleft%28%5Cfrac%20u3%5Cright%29%20%5C%5C%5C%5C%20%3D%20%5Cfrac13%5Ctimes%5Cfrac%5Cpi2%20%3D%20%5Cboxed%7B%5Cfrac%5Cpi6%7D)