Looking on the internet deeply has found these results:

in search of is the most popular phrase on the web.

in search for 136,300,000 results on the web	in search of 1104,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Some say that he drowned in the lake, But others say that they've seen his ghost, Wandering these woods, in search for his lost sister. We will travel into deep space in search for them. Earth decides to send a spaceship in search for food. People have left villages for towns in search for work. She headed for the Mako Reactor in the mountains in search for her Father. The sharks are literally going right up to the beach in search for food. She must have set out in search for me. As I understand it, we are in search for such that was long before my tenure, So I can't speak to its existence.	Came here in search of an interesting case. Master Yoda meditates deep into the Force in search of answers. No, he's a Bulgarian in search of happiness. I've been in search of shortbread. So that leaves me in search of a third option. An expedition in search of a sunken ship. We set off once more in search of our road. I set out in search of lost, sad people.

in search for

136,300,000 results on the web

in search of

1104,000,000 results on the web

More popular!

Some say that he drowned in the lake, But others say that they've seen his ghost, Wandering these woods, in search for his lost sister.
We will travel into deep space in search for them.
Earth decides to send a spaceship in search for food.
People have left villages for towns in search for work.
She headed for the Mako Reactor in the mountains in search for her Father.
The sharks are literally going right up to the beach in search for food.
She must have set out in search for me.
As I understand it, we are in search for such that was long before my tenure, So I can't speak to its existence.