The Future Indefinite in the Past describes an action that was future from the point of view of the past.

Formation of the Future Indefinite

#1. The Future Indefinite in the Past is formed by means of the auxiliary verbs should, and would and the infinitive without to of the notional verb.

Should is used for the first person singular and plural.
Would is used for the second and the third person singular and plural.

#2. In the interrogative form, the auxiliary verb is placed before the subject. And in the negative form the negative particle not is placed after the auxiliary verb.

Affirmative Interrogative Negative
I should work
He would work
She would work
We should work
You would work
They would work
Should I work?
Would he work?
Would she work?
Should we work?
Would you work?
Would they work?
I should not work
He would not work
She would not work
We should not work
You would not work
They would not work

#3. The contracted affirmative forms are:

I’d work
He’d work

The contracted negative forms are:

I shouldn’t work
He wouldn’t work

#4. The negative-interrogative forms are:

Should I not work? = Shouldn’t I work?
Would he not work? = Wouldn’t he work?

Use of the Future Indefinite

The Future Indefinite in the Past denotes an action that was future from the point of view of the past.

I was sure he would agree with me.