If-z-x-is-a-complex-function-is-the-following-true-zdx-z-dx-i-z-dx-

Question Number 6737 by FilupSmith last updated on 19/Jul/16

If z (x) is a complex function,

is the following true :

\int z d x = \int ℜ (z) d x + i \int ℑ (z) d x

Commented by prakash jain last updated on 19/Jul/16

Yes . Since i is simply a constant .

For example

\int (2 x + {i x}^{2}) d x = \int 2 x d x + i \int x^{2} d x