to do（不定式）...& donging(分詞)...

"To do" is an infinitive and "doing" is a gerund. 什麼情形使用 to do 和 doing 要看其他的動詞或者作者意思.

I want to do it.
I wish to do it.

I won’t mind doing it.
I resent doing it.

這要看什麼是什麼動詞, 是 want, wish, mind, resent

下列要看作者意思
Don’t forget to do the homework tonight.

We use remember/forget to do for necessary actions. The remembering/forgetting is before the action

I forget doing the homework last night.

We use remember/forget doing for memories of the past. The action is before the remembering/forgetting.

I stop to do my homework.

Stop to do something means to stop so that you can do it.

I stop doing my homework.

Stop doing something means to end an action, to finish doing it.