what is the noun fuction of He must like studying calculus.

The gerund phrase, "studying calculus," is a direct object.

To determine the noun function of a sentence, you need to identify the noun and analyze its role in the sentence. In this sentence, there are two nouns: "he" and "calculus."

"He" is a pronoun, specifically a third-person singular pronoun representing a male. In this sentence, "he" is the subject of the sentence. The subject is the noun or pronoun that performs the action described by the verb or that the sentence is about.

The second noun, "calculus," refers to the mathematical subject. In this sentence, "calculus" is the object of the verb "studying." The object is a noun or pronoun that receives the action of the verb or shows the result of the action.

Therefore, the noun function of this sentence is that "he" is the subject, and "calculus" is the object of the verb.