Hello, I'm not tutor of English but I will try help you

To Learn - to gain knowledge or skill by studying, practicing, being taught, or experiencing something.

To Study - to read, memorize facts, attend school, etc., in order to learn about a subject.

It seems that studying is the action to reach the goal of learning.

This is why we can say “I studied but I didn’t learn anything”. This means I memorized facts or read about a subject, but for some reason did not gain any new knowledge or skills.

I hope had help you

Children learn their first language without ever studying. It's also possible to study without learning anything.

Ideally, you want to learn as much as possible while studying as little as possible.

If I told you something you didn't know before, then you'd have learned something new. If you're studing something, you're setting aside some of your time to try to learn it.

I think that difference betwen study and learn is that study is memorize and learn is know all the things that you experiment 

well those two terms are kind of connected to each other but still they are somehow different...

The meaning of "Study" :
1. To apply one's mind purposefully to the acquisition of knowledge or understanding of (a subject). 2. To read carefully. 3. To memorize. 4. To take (a course) at a school. 5. To inquire into; investigate. 6. To examine closely; scrutinize. 7. To give careful thought to; contemplate: study the next move. 8- think deeply, reflect, or consider. 9-to take a course of study, as at a college.
The meaning of Learn:
1. To gain knowledge, comprehension, or mastery of through experience or study. 2. To fix in the mind or memory; memorize: learned the speech in a few hours. 3. a. To acquire experience of or an ability or a skill in: learn tolerance; learned how to whistle. b. To become aware: learned that it was best not to argue. 4. To become informed of; find out. See Synonyms at discover. 5. Nonstandard To cause to acquire knowledge; teach. 6. Obsolete To give information to.