Be willing to do sth.

愿意做某事。

He is always willing to do extra work to help the team.

他总是愿意做额外的工作来帮助团队。

She is always willing to do what is within her power.

她总是愿意做力所能及的事情。

Be willing to do some detective work

愿意做一些调查工作

I was willing to do anything to become better.

为了变得更好，我愿意做任何事。

To encourage is to make someone more willing to do something.

鼓励是让某人更愿意做某事。

Thanks, I am willing to do everything she wants but divorce.

谢谢，现在她说什么我都愿意做，只要不离婚。

If you choose to do in Jin Yong's fiction of a figure who you willing to do?

如果让你选择做金庸小说里的一个人物，你愿意做谁？

Sometimes we do something that we are not willing to do just owing to pride!

我们总会做一些我们自己不愿意做的事，或许那仅仅是因为骄傲！

The man was willing to do anything to make his wife crack a smile.

让他的妻子展颜微笑，他愿意做任何事情。