Let's identify the phases as requested:
-
Full of vexation - Participial phrase
- (The participle "full" describes the subject "I.")
-
to marry with Demetrius - Infinitive phrase
- (The infinitive "to marry" explains the action.)
-
with me - Prepositional phrase
- (The preposition "with" indicates the relationship.)
-
shrewd and knavish sprite called Robin Goodfellow - Appositive phrase
- (The appositive "called Robin Goodfellow" renames "sprite.")
-
to speak truth - Infinitive phrase
- (The infinitive "to speak" suggests the action.)
-
beshrew my manners and pride - Participial phrase
- (The participle "beshrew" introduces the expression.)
-
of patches - Prepositional phrase
- (The preposition "of" shows ownership or belonging.)
-
with a monster - Prepositional phrase
- (The preposition "with" introduces the relationship.)
To summarize:
- Participial
- Infinitive
- Prepositional
- Appositive
- Infinitive
- Participial
- Prepositional
- Prepositional