The phrase "even more integral part" is correct and usable in written English.
You can use it to emphasize the importance of a part or component of something. For example: "The marketing team is an even more integral part of the company's success than the research and development team."
Now some schools are taking the technology further, deploying wireless networks to make the Internet an even more integral part of day-to-day learning.
Recently, interleavers have become an even more integral part of the code design itself, if we consider for example turbo and turbo-like codes.
The worry is that as the economy slows along with the world's, blocking roads and throwing stones will become an even more integral part of the Peruvian way of life.
The committee emphasized its hope that Princeton's creative arts initiative would allow the arts to become an even more integral part of the intellectual life of the community and that it would be designed to reinforce the complementarities that we aim to achieve between the creative arts and a broader liberal arts agenda.
To make Poirot an even more integral part of Murder on the Orient Express, Sheldon made him into an elaborate hint system.
But keeping veterans together is something the nonprofit hopes to make an even more integral part of getting vets on their feet.
IN one awful instant, this patchwork city that is part high-tech, part high finance and part third world assumed an even more integral role in the region's stability.
And if your B2B company is already using social media, it's even more integral that video should be part of your strategy since every major platform -- Facebook, Instagram, Twitter and even LinkedIn -- use video in some way.
Of course, if apps are to become a more integral part of treatment programmes, the basics have to be right.
