Calculating fourier transform I have just recently started doing fourier transforms and I'm a little confused.

Can someone walk me through in detail how to calculate the Fourier transform of

I'm not looking for answer, just an explanation of how to go about doing it.
Sinusoidals are one of the easier signals to analyze given how you can manipulate the expression by algebraic tricks. 

for this function particularly, I would convert sine to its euler form first:



Then use the Fourier Transform definition: