Indefinite Integration

[Lasercookie]

Just wondering with indefinite integration:


What exactly does the 'dx' mean?

I know for derivatives dy/dx, the dx means 'small change in x'. Does it mean the same thing in integration and why do we bother writing it?

[TrueTears]

Comes from the Riemann sum, http://en.wikipedia.org/wiki/Riemann_integral#Riemann_sums

The integral comes from

is analogous to

is analogous to

is analogous to

Don't worry about it in VCE though, if you read the proof regarding the FTC it becomes much clearer.

http://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus

[Lasercookie]

Thanks

This is pretty interesting, FTC is Fundamental Theorem of Calculus right?
I'll see if I can make any sense of it now, probably going to wait until later to be able to comprehend it though.

[TrueTears]

yup look at part 2 of the proof