They may have been treasure cards. Try going to your deck (P) and clicking the icon at the top left corner. There, you can see every single treasure card you own.
Firstly, you should be incredibly proud and happy you managed to obtain even one spell from these packs. Spell drops are incredibly rare. The fact that you got more than one is quite something!
Whenever you learn a new spell whether by a drop, or trained etc. if there is space within your spellbook, then the spells will automatically be added.
If there isn't space, you will have to manually add them yourself.
Be sure not to confuse actual spells with just treasure cards though. They are two different things that operate differently. Spell are permanent, treasure cards are one time use [temporary] and will have to be added to your side deck for usage.
I think you are probably talking about treasure cards. To put treasure cards into a deck, open the deck and look at the top left for the little blue banner with the gold circle and click it. This opens your sideboard, the part of the deck where treasure cards are kept. At the same time the display on the right switches from showing trained spells to treasure cards. You may have to click different schools to find the ones you got from packs. When you are through with the sideboard, clicking the upper left button again returns you to the main part of the deck with trained spells. To use a treasure card in combat, first discard a spell in your hand (right click) then click the draw button, this gives you a random treasure card from your sideboard.
