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I am taught that never start a sentence with "but" and "so", they are only put in middle of a sentence. However, I've seen "But" and "So" at the beginning of a sentence many times(e.g: in the picture) Is it correct? Can I use it in academic writing?

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taesonssI am taught that never start a sentence with "but" and "so", they are only put in middle of a sentence.

That is an antiquated rule that some old-fashioned English grammarians invented in the Victorian age of the 19th century, and it kind of stuck.

It is completely acceptable to begin a sentence with one of the FANBOYS conjunctions. Many famous English writers do it.

https://www.grammar-monster.com/lessons/starting_a_sentence_with_and_or_but.htm

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taesonssI am taught that you should never start a sentence with "but" and "so", they are only put in middle of a sentence.

They only tell you that because beginners do it far too often if you tell them it's OK.

taesonssHowever, I've seen "But" and "So" at the beginning of a sentence many times(e.g: in the picture) Is it correct?

It can be. It's a judgment call. It seems OK this time because the sentence starts to drag a bit just where they end it, and they get a running start on the next one with "so". But (there's one) this is not exemplary writing. For example, they say there are five domains, and then they list six.

taesonssCan I use it in academic writing?

It is best avoided in formal writing. It has a casual air.

Students: Are you brave enough to let our tutors analyse your pronunciation?
 AlpheccaStars's reply was promoted to an answer.
Wow, thank you so much!