# change of variables for definite integrals

CHỈ MỘT QUẢ GẨY BÓNG, RASMUS HOJLUND ĐÃ GỬI MARTIAL VỀ PHÁP!
CHỈ MỘT QUẢ GẨY BÓNG, RASMUS HOJLUND ĐÃ GỬI MARTIAL VỀ PHÁP!

First of all I would like to start off by asking why do they have different change of variable formulas for definite integrals than indefinite…why cant we just integrate using U substitution as we normally do in indefinite integral and then sub the original U value back and use that integrand for definite integral?

I was at one point understanding integration but not when they started coming up with different formulas for definite integrals in U-substitution I got lost and resulted to just forcibly memorizing the formulas…

I dont get why for U substitution they sub the upper and lower bounds into U from the original function to find the new upper and lower bounds with the function U.

I know that because if you dont want to sub the original value of U in and want to instead stick to U as your function you must use those new upper and lower bound but if you sub in the original value for U then you can use your old upper and lower bound values.

My question is what or how does plugging your old lower and upper bound values into U give you the new values of your new function thats expressed as U…

Why do they make such a big deal out of it and complicate it when all they have to do is same U sub as indefinite integral and then plug original value of U in and go from there…are these math people just making excuses to come up with more work or is there more logic behind it?

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