1. **State the problem:** We need to select all the squares that contain perfect squares and order them from least to greatest. 2. **Recall what a perfect square is:** A perfect square is a number that can be expressed as $n^2$ where $n$ is an integer. 3. **Evaluate each expression:** - $e^2 \approx 7.389$ (not a perfect square since $e$ is irrational and $7.389$ is not an integer square) - $\frac{4}{7} \approx 0.571$ (not an integer, so not a perfect square) - $2! = 2$ (not a perfect square) - $\int_3^8 x \, dx = \left[ \frac{x^2}{2} \right]_3^8 = \frac{8^2}{2} - \frac{3^2}{2} = \frac{64}{2} - \frac{9}{2} = \frac{55}{2} = 27.5$ (not a perfect square) - $\log_3(2) \approx 0.63$ (not a perfect square) - $\frac{5\pi}{6} \approx 2.618$ (not a perfect square) - $\sum_{i=3}^4 i = 3 + 4 = 7$ (not a perfect square) - $\infty$ (not a number, ignore) - $\sqrt{7} \approx 2.6457$ (not a perfect square since 7 is not a perfect square) 4. **Check if any are perfect squares:** None of the evaluated values are perfect squares. 5. **Conclusion:** There are no perfect squares among the given expressions. **Final answer:** No squares contain perfect squares.