请问forget to do sth与forget doing sth 的用法和区别

forget to dosth
忘记要去做某事
forget doing sth
忘记以前曾经做过某事
例如
Sorry,I forgot to bring the book.(对不起,我忘了带书了.)
I forgot borrowing a book from you.（我忘记曾经向你借过书这件事）