Ho deciso di fare l’esame
 	
I decided to take the exam 
(rule: the full infinitive (with to) is used after certain verbs such as agree, appear, arrange, attempt, demand, deserve, expect, help, hesitate, hope, learn, manage, need, offer, pretend, refuse, seem, struggle, threaten, would like, promise)

Ha negato di aver rubato niente. 

He denied stealing anything.

(rule: the gerund is used after certain verbs such as admit, adore, advise, appreciate, anticipate, avoid, consider, deny, dislike, enjoy, feel like, imagine, keep, mind, miss, prevent, recommend, resent risk, suggest)

Ho molto apprezzato il fatto che tutto mi abbia aiutato in questo modo 

I really appreciated you / your ...helping me... out / here like this / this way
(rule: if the subject is different an object or possessive adjective is used)

Vado solo in banca a prendere dei soldi

I’m just going to the bank to get / get out... some money. 
(rule: infinitive with to is used to express purpose)
+
Mi sono ricordato di telefonare

I remembered to call 
(rule: the infinitive with to is used for actions that occur after that of the main verb with verbs forget, remember, stop and regret)

L’esperienza mi ha insegnato a non fidarmi delle tigri

The experience (omettere “the” se si tratta di esperienza in generale) taught me not to trust (in) tigers.

Puoi guardare, ma non devi toccare

You can look at it, but you mustn’t touch (it).

E’ meglio che io vada – ho promesso di aiutare mio padre

I better go – I promised (pronuncia: pròm_sd) to help my father

Si è stancata di aspettare

She got tired to wait of waiting

Mi sono ricordato di essere andato lì a mangiare

I remembered having lunch there / going to eat there.

Mangiare il cibo giusto aiuta ad imparare

Eating the right food improveS learning. (when the verb is the subject usually the gerund is used)

Ha ammesso di aver rotto la finestra

He admitted breaking the window. 
(admit takes the gerund)

Non mi riesco ancora ad abituare

I still can’t get used to it.