Any tips for figuring out which method to use to solve integrals? Like use partial fractions when you see you need to take the integral of a function. Complete the square if you have to.
use integral by parts if it's all getting multiplied ( which i think is the )
But like. When do you know you have to use trig substitution before you can use one of the previous methods? My teacher mentioned using a special one to solve some integrals, but I can't currently find my notes on that... Any other tips or recommendations?

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.