Looking on the internet deeply has found these results:

to do better in the international society is the most popular phrase on the web.

to do better in international society 148,900,000 results on the web	to do better in the international society 153,800,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
'I was determined to do better in the next heat.' You really need to do better in 2008. It is therefore in the interests of the acceding countries to do better in these areas. Need to do better in school, honey. We have got to do better in the new year. They tend to do better in pairs. So although your words are unmistakably aggressive, I shall try to learn from them and I hope to do better in the future. Well, I shall try to do better in future.	'I was determined to do better in the next heat.' It is therefore in the interests of the acceding countries to do better in these areas. Need to do better in school, honey. They tend to do better in pairs. You really need to do better in 2008. So although your words are unmistakably aggressive, I shall try to learn from them and I hope to do better in the future. Well, I shall try to do better in future. We have got to do better in the new year.

to do better in international society

148,900,000 results on the web

to do better in the international society

153,800,000 results on the web

More popular!

'I was determined to do better in the next heat.'
You really need to do better in 2008.
It is therefore in the interests of the acceding countries to do better in these areas.
Need to do better in school, honey.
We have got to do better in the new year.
They tend to do better in pairs.
So although your words are unmistakably aggressive, I shall try to learn from them and I hope to do better in the future.
Well, I shall try to do better in future.

'I was determined to do better in the next heat.'
It is therefore in the interests of the acceding countries to do better in these areas.
Need to do better in school, honey.
They tend to do better in pairs.
You really need to do better in 2008.
So although your words are unmistakably aggressive, I shall try to learn from them and I hope to do better in the future.
Well, I shall try to do better in future.
We have got to do better in the new year.