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## finding energy via integration

Hello, I havnt done physics in quite a while and I just want to ask a question about basic energy that i know how to deal with in algebraic terms, but not through means of calculus. I also don't really get the theory of the equation $E=FD$, where E=energy, F=force, and D=distance

is the F the force it took to move the body distance D? So, for example, applying a force of 20N on a body moves it 4m, $E=FD=(20N)(4m)=80J$?

if thats the case then how can we express this with derivatives or integrals?
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