because the constant represents an arbitrary number so you can say "first constant"+"second constant"= C, so C can literally be the sum of the remaingin constants, just like how when he spits the exponent part, you get e^(x+c) -> e^(x)*e^(c) -> e^(x)*C, he is kinda redefining C as he goes along cus he can and makes it simpler.
nice to have a good teacher finally
Bro i might pass my midterm thanks to you :D
I still don't understand why you don't add a constant of integration on both sides after integrating.
because the constant represents an arbitrary number so you can say "first constant"+"second constant"= C, so C can literally be the sum of the remaingin constants, just like how when he spits the exponent part, you get e^(x+c) -> e^(x)*e^(c) -> e^(x)*C, he is kinda redefining C as he goes along cus he can and makes it simpler.