Comment: The work should be divided into three main sections: introduction, exploration, and conclusion. Those sections should then be further subdivided

Comment: The student clearly states the topic of their work in the title - 'Analytically evaluating and generalizing an integral from the Putnam mathematical competition'. It is then further explained in the introduction

Comment: The student clearly states the topic of their work in the title - 'Analytically evaluating and generalizing an integral from the Putnam mathematical competition'. It is then further explained in the introduction

Comment: The student clearly states the aim of the exploration and how they plan to approach the problem, as shown in the highlighted parts

Comment: The student clearly states the aim of the exploration and how they plan to approach the problem, as shown in the highlighted parts

Comment: The conclusion responds to the aim and summarizes the findings of the investigation

Comment: The graph seems to be made using technology, which is not indicated in any way. The student should explain how they obtained the graph

Comment: The introduction for the graph is on the previous page. It would be better if the graph was right under the description of what it presents

Comment: All terms and methods are clearly explained before used. The highlight shows a good example of an explanation of integration by parts

Comment: The students explains mathematical concepts before they use them

Comment: The students explains mathematical concepts before they use them

Comment: All terms and methods are clearly explained before used. The highlight shows a good example of an explanation of integration by parts

Comment: The student explains all necessary terms before use and with new development, they introduce new terms and methods accordingly. For example, in the highlight, since integration by parts did not yield a solution, the student introduced substitution

Comment: The student explains each calculation well and does not take any shortcuts, to ensure the reader has a clear understanding of the development of the exploration

Comment: The student uses logical thinking to reflect on the current state of the investigation and what should be done for its development. An example is shown in the highlight

Comment: The student uses logical thinking to reflect on the current state of the investigation and what should be done for its development. An example is shown in the highlight