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Consider the integral Int{f(x) dx}. As physicists, probably many of
us read and think of this as a summation of quantity f multiplied by
small intervals dx (where f is evaluated say in the middle of each
interval for specificity).
We note that dx is dimensional and carries units (typically).
But I'm sure many of us have experience with students leaving off the
dx,
... text is clearly saying:
"The integral is denoted Int{f(x) dx} or Int{f}. The symbol Int is an
integral sign. It is a stylized S to suggest the connection with
sums. f is called the integrand. The symbol dx is a device for
keeping track of the variable."