There is no universally accepted order for writing mathematical expressions, as conventions can vary based on readability and context. Generally, integral constants are placed on the left, followed by variables, but this can be adjusted for clarity, especially with radicals. In LaTeX, it's recommended to keep expressions within a single set of tags to avoid confusion about terms inside or outside of radicals. While there are loose conventions, the primary focus should be on making expressions clear and easy to manipulate. Ultimately, consistency in presentation is valued, particularly in published mathematical works.