I'm going to guess what your question is based on the scant information above. Is your question:
"Please explain to me how to calculate the integral (with respect to x) of the equation y=arctg(x) + [x][/3] + 4 over the interval x=1 to x=2, by means of a programmatical solution using steps of 0.1 for dx"?
Well, it's pretty easy to do, just look at the tutorial page I gave and make sure you understand: data types, control structures and variables. That is really all you need to do this. You may also want to know that the arctangent function is defined in <cmath>.
There are many mathematical methods you can use to do this. An easy one to start with is commonly known as the "rectangle method". I think the Wiki page includes a complete C programme that almost does the whole thing for you.
Read the documentation and discover what the name of the function is in the cmath library (do not use math.h, this is C++) that carries out the arctan function. It's not called actg.
This task requires a knowledge of programming, C++ and math. However, it can be done by reading the wiki page I gave you earlier and making a smart guess about what to change in the provided example C program.