That's a really more intuitive approach, since we were taught the x= tant/2 substitution for these integrals, surprised how I never thought of this MUCH simpler method, thank you RU-vid god's for getting this on my feed
You sadly missed the minus sign after you did the decomposition so the answer is excatly the negative of your solution, but it's okay. I think you did a good job explainig everything. So keep going😁