2010-01-15, 02:15 AM
Take this function:
F(x) = x^2
We all know that the derivative of this function is:
F'(x) = 2x
So when we try to take the antiderivative of F'(x):
S F'(x) dx = S 2x dx = x^2 +C
My question is, why do we need the dx there? Please give me a reason other than "notation". Because my teacher basically marked points off for every time I showed my work as:
S 2x = x^2 +C
F(x) = x^2
We all know that the derivative of this function is:
F'(x) = 2x
So when we try to take the antiderivative of F'(x):
S F'(x) dx = S 2x dx = x^2 +C
My question is, why do we need the dx there? Please give me a reason other than "notation". Because my teacher basically marked points off for every time I showed my work as:
S 2x = x^2 +C