:: As far as I can tell, the more difficult integrand doesn't have an indefinite integral in terms of elementary functions . ~ ~ Talk ) ~ ~ 07 : 42, 1 September 2009 ( UTC)
32.
In other circumstances, " up to a constant " is used to mean up to " adding " a constant : for example, the indefinite integral of a function is only defined up to a constant.
33.
:The sign is the Integral Sign, without any arguments, refers to the Indefinite integral which takes afunction and maps it to a set of functions which indicate the area between the original function and the given line.
34.
The Weierstrass theory also includes the Weierstrass zeta function, which is an indefinite integral of & # 8472; and not doubly periodic, and a theta function called the Weierstrass sigma function, of which his zeta-function is the log-derivative.
35.
:: Technically the above formula is an indefinite integral and really all it says is that the derivative of \ ln \ left | x \ right | is 1 \ over x, with the restriction x ` " 0 implicit from the domains of the functions involved.
36.
The " indefinite integral ", also known as the " antiderivative ", is the inverse operation to the derivative . is an indefinite integral of when is a derivative of . ( This use of lower-and upper-case letters for a function and its indefinite integral is common in calculus .)
37.
The " indefinite integral ", also known as the " antiderivative ", is the inverse operation to the derivative . is an indefinite integral of when is a derivative of . ( This use of lower-and upper-case letters for a function and its indefinite integral is common in calculus .)
38.
We might say " the solution to an indefinite integral is, " up to addition by a constant " ", meaning that the added constant is not the focus here, the solution is, and that the addition of a constant is to be regarded as a background, of secondary focus.
39.
The " indefinite integral ", also known as the " antiderivative ", is the inverse operation to the derivative . is an indefinite integral of when is a derivative of . ( This use of lower-and upper-case letters for a function and its indefinite integral is common in calculus .)
40.
I'm not sure what to do with the constant when taking the indefinite integrals . ( I'm trying to get the definite integral from 2 to 5 ) Will someone please explain to me how to do treat the constant when antidifferentiating ? talk ) 00 : 01, 3 March 2008 ( UTC)
