Consider the two sentences:

His mother wanted him to study more.
She made him study more.

In the first, we have an infinitive phrase acting as a direct object, with "him" as the subject of the infinitive.

How about the second sentence? Is that also an infinitive phrase, with an implied "to"? Or is that some other construct?

I'm thinking of how to diagram it.

"him" is never a subject; with that pronoun, "he" is the subject form and "him" is the object form.

http://grammar.ccc.commnet.edu/grammar/phrases.htm#infinitive
for infinitive phrases

http://grammar.ccc.commnet.edu/grammar/diagrams2/diagrams_frames.htm
for diagramming

http://www.eslcafe.com/grammar/verbs_other_verbs01.html
verbs plus infinitives (your first sentence)

http://www.eslcafe.com/grammar/verbs_other_verbs03.html
verbs plus other verbs (your second sentence)

Hmmm. A bit more research turned up

englishplus dot com where it said:

Keep in mind that when an infinitive follows a verb, sometimes the word to is dropped from the infinitive.

A personal pronoun is in the objective case when it is a subject of the infinitive.

It even covered the 2nd case, where the "to" is dropped.

If what you're looking for is a pat on the back, go ahead and write up what you want.

If you want my opinion (backed up by over 50 years of studying and teaching English and Latin), I tell you that infinitives do not have subjects -- and "him" is NEVER a subject.

Do as you wish ...

No offense, but I am surprised. The sentence is obviously common English usage, and if "him" is in the objective case, and is not the subject of the infinitive phrase, what is it?

In the second sentence, "She made him study more," the verb "study" is not an infinitive phrase. Instead, it is an example of a causative verb construction.

In a causative construction, the subject of the sentence (in this case, "She") causes or forces another person (in this case, "him") to do something. The verb "made" is the causative verb, which indicates that someone is compelling or requiring another person to take an action.

To diagram this sentence, you can use a tree diagram. Here's an example:

She
|
made
|
└── him
|
study
|
more

In this diagram, the subject "She" is connected to the causative verb "made," which in turn is connected to the object "him." The verb "study" is connected to the object "him," indicating that "him" is the one being made to perform the action of studying. The word "more" acts as an adverb modifying the verb "study," indicating the degree or extent of the action.

It is important to note that although the verb "made" is causative, the verb following it ("study") is not in the infinitive form as it would be in the first sentence. Instead, it is in the base form (also known as the simple form or non-finite form) without the "to" particle.