Study or Learn

Study and learn are two different words. We can use them in the same context but the meaning

will change.

We usually study in order to learn. Let's have an example: 

I studied a lot last night. 

I learned a lot last night.

The first sentence means that I read a lot but it does not necessary  mean that I learned something from my study. 

The second sentence means that I gained knowledge, I gained new information and understood it well.

So,

To study means to read, memorize facts , attend school,..... in order to learn something.

To learn means to gain knowledge or skill by studying, practicing, experiencing something, being taught,.... 

Examples: 

• We studied how to solve such mathematical problem .
• We  learned how to solve such mathematical problem .

The people in the first sentence mean that they studied at school how to solve such mathematical problems, but it is not necessary that they can solve it now because they might not understand. 

In the second sentence they mean that they can solve such them because they understood that well and are able to do it now.

• I learned cooking. 

In this sentence, the person tries to say that she/he can cook well because she/he, maybe, watched their mothers cooking and practiced it. They gained the skill of cooking. 

It is better to say I want to learn English than I want to study English because we want to understand it well and use it.