Why Does Work Equal ∫ p dv in an Isothermal Process?

[intenzxboi]

i was told that w= p dv

but how come w= pv dv in a isothermal process??

 

[Dadface]

You were told wrong the first equation being correct for an infinitessimal change.

 

[Redbelly98]

i was told that w= p dv

but how come w= pv dv in a isothermal process??

Actually, w = ∫ p dv