Really excellent videos. Your explanations are easy to understand and make sense! You have made the perplexing subject of the Fundamental Theorem much more clear to me. Thank you very much.
Thanks for your explanation. One thing I have never seen an explanation for is why does du go away? It obviously has value as it = in your example 2xdx which is a number or a quantity. du is used, manipulated, cross multiplied, divided and all sorts of things and yet by the time it reaches the last step it is discarded. Why?
@jrk1107 Typically you want to make u equal to something whose derivative ALSO appears in the integrand. You need to work through a few examples to see why this is so. That's usually enough to get anyone through the easier substitutions.
yeah you can choose whatever you want to make u equal to, a lot of people seem to have that question. I figure since its been three weeks u might already have the answer tho ahah
@dextose because the u^2 is in the denominator which when you bring it up is really u^-2 add one is u^-1 /-1 the negative is brought to the outside to the one tenth (-1/10), and the neg exponent is brought down to the denominator again (1/u) :)
VERY helpful. I was very nervous because I have a test tomorrow and nothing was helping me understand this, not my textbook, coursepack, or my professor's lecture. Thank you so much!
ur awesome! understood it much better!
luisvazquezism 4 months ago
ty
pepteamsergi09 5 months ago
Really excellent videos. Your explanations are easy to understand and make sense! You have made the perplexing subject of the Fundamental Theorem much more clear to me. Thank you very much.
hifellow 6 months ago
ty soooo much!!
phaldaz 8 months ago
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Hi
Thanks for your explanation. One thing I have never seen an explanation for is why does du go away? It obviously has value as it = in your example 2xdx which is a number or a quantity. du is used, manipulated, cross multiplied, divided and all sorts of things and yet by the time it reaches the last step it is discarded. Why?
Thanks
JK
roknroll3 11 months ago
how do u figure out what to make u equal to?
jrk1107 1 year ago
@jrk1107 Typically you want to make u equal to something whose derivative ALSO appears in the integrand. You need to work through a few examples to see why this is so. That's usually enough to get anyone through the easier substitutions.
calctube 1 year ago
@jrk1107
yeah you can choose whatever you want to make u equal to, a lot of people seem to have that question. I figure since its been three weeks u might already have the answer tho ahah
TheLiberalSoup 11 months ago
wow, this guy is better than my prof - thanks for the vid! It helped
saj3000 1 year ago
OMG. THIS SAVED ME!
smplctyluver 1 year ago
good but i want full chapter combined integrations
jaan1441 1 year ago
I love you ( no homo)
DBR1308 1 year ago
Awesome. Incredibly helpful.
tanders12 1 year ago
thanks so much! i wished you were my professor..
lstayazn 1 year ago
you're one badass mafia calc teacher
SugarPlumBud 1 year ago
this guy must be Jesus, cause he's my savior!
kittykitty42 2 years ago
Really great, nice job...the only video I've found so far which explains it step by step.
mojoe108 2 years ago
why did you not add 1 to the exponent and make the its denominator? (u^3 / 3 ) ?? helpful video nonetheless!
dextose 2 years ago
@dextose because the u^2 is in the denominator which when you bring it up is really u^-2 add one is u^-1 /-1 the negative is brought to the outside to the one tenth (-1/10), and the neg exponent is brought down to the denominator again (1/u) :)
kittykitty42 2 years ago
VERY helpful. I was very nervous because I have a test tomorrow and nothing was helping me understand this, not my textbook, coursepack, or my professor's lecture. Thank you so much!
aquakat3 2 years ago
best explanation on youtube
TheEarlOfDublin 2 years ago
thanks for this vid...it helped me alot:D
lalalaland17 2 years ago
Very good much better explained than my lecturer by far so much easier
korrisha 2 years ago