> For my code i need to add some standart c++ libraries, like <cstint.h>.
A header file is not a library. You would realize that latest at link stage. C++ comes also with separate link libraries (*.a), and different startup code.
The best option is to select a C++ project from the beginning, and the IDE will add the proper headers, libraries and startup code by default.
To be honest, I did only C projects with LPCXpresso up to now. And AFAIK, most SDK examples are standard C, too.