8 мар. 2014 г. · An indefinite integral ∫f(x)dx is understood as a function F used to evaluate the definite integral over an interval [a,b] in the following way: ...

6 мар. 2018 г. · The expression ∫f(x)dx is typically understood to mean "a general antiderivative of f". Any two such antiderivatives (on an interval) only ...

7 февр. 2017 г. · Let's calculate first the whole value of I over the rectangle D=[a,X]×[b,Y], we integrate over y first. I(D)=∫Xa∫Yb(x+y)dxdy.

18 окт. 2016 г. · The real question is why you would want to calculate an indefinite double integral. If for some really weird reason you wanted to, you would ...

13 мая 2014 г. · The indefinite integral in two dimensions is a function of the domain, not like the anti-derivative in one dimension, where the domain is ...

17 окт. 2016 г. · The question of what an indefinite double integral ought to be is subtle. If you do the indefinite integration with respect to x, you get a constant.

22 окт. 2020 г. · In Calc 1 and 2, if you have an equation of the form ∫f(x)dx=g(x), then you can take the "inverse integral" (i.e. derivative with respect to x) ...

16 июн. 2014 г. · There should never be a double definite integral in the same variable, any definite integral "removes" the integration variable from the term completely.

29 апр. 2014 г. · In multivariable calculus, definite integrals with multiple variables seem routine. However, I have not seen any example of an indefinite ...

23 июн. 2017 г. · Indefinite double integral of a single variable function. 1 · Double integral equivalent to single integral · 2 · Double integral variable ...