"has been intent on" is a correct and usable phrase in written English.
You can use it when you want to express that somebody has been focused on and resolute about achieving something. For example: "He has been intent on completing the project by the end of the week."
Since that first game at Franklin Field last fall, Bagnoli has been intent on making Garton one of the rare dual-threat starting quarterbacks in a league in which pocket passers are about as standard as ivy-covered walls.
That's no mean feat since this one has been intent on beating back the state.
Even on small matters, the White House has been intent on getting its way.
Instead Lewisham has been intent on compulsorily purchasing the club's land in order to lease it to its preferred developers.
Guardiola has been intent on recruiting an alternative virtually since he was announced as Manuel Pellegrini's replacement on 1 February.
The government has been intent on trying to keep much of its "on water" management and disruption activities secret.
To the best of the study's knowledge, there are few interventions designed to increase GP contacts among adolescents, but an Australian study has found an increase in intention to contact the GP. 15 Norwegian health authorities have been intent on developing a low threshold for use of health services among adolescents, some of which are severely under-utilised particularly by males.
Had he considered that Amy might have been intent on shooting him?
Revis was then asked why he felt Johnson had been intent on trading him.
He also denied that the Administration had been intent on transferring power to Chalabi.
(Mr. Bush had been intent on attending an awards dinner for his wife, Laura, in Texas).
