I've been trying to figure out to say something about the product of two functions that I know the integral to. More specifically, some function $K$ and some linear function $a\cdot x$. I know the following:
$\int_{\Gamma} K \; ds_x = 1$
Is it possible to say anything about:
$\int_{\Gamma} K\cdot x \; ds_x = $ ?
I tried alot of standard methods like partial integration, however $K$ is a very tedious function to work with in this case. Any help is greatly appreciated.