busy 短语的用法常用的有两个:
be busy with sth 忙于做某事
be busy doing sth 忙于做某事
例如:
1.The plan for the new book is on ice at the moment.I've been busy with too many other things.
写那本新书的计划暂时搁一下,我一直忙于太多其它的事情.
2.He is busy doing his homework.
他正忙着做家庭作业.
单独的busy +to do的结构是不成立的