"If you are in my class" I want to be in your class 😭

I think there’s also another method where you can split the numerator into a multiple of the denominator and a constant: (2/3)(3x+2) = 2x+4/3 int [(2x+3)/(3x+2)] = int [2x+4/3+5/3)/(3x+2] = int [2/3 + (5/3)/(3x+2)] = (2/3)x + (5/9)ln|3x+2| + c

If anything just use rule of addition and subtraction for Integration. U-sub (and trig sub) eventually gets messy with double/triple integrals, so just separating makes things easier, then for harder problems DI/tabular method (integration by parts) can always be done.

I like u-sub for problems like this. I think my biggest annnoyance with u-sub comes when it is used more sequentially to the point where it can be much harder to recognize that it is a problem you can effectively use u sub for until after you mess it up completely by taking it snother way. Tht isn't always bad of course but can get confusing when sometimes the more complex answer is what you actually need to get and don't want to get locked in too much of a framework that makes you over avoid those answer either

"If you’re in my class” Man, I literally have been studying math by your videos since my school, cause I found it pretty interesting (and because math in school was too easy for me). I’m happy that multiverse of me is studying in your class ^^

no dx, not an integral ;)

You are from China?