U-Substitution Introduction 1 - Calculus
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Nice one for uploading this video.
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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 6xdx which is a number or a quantity. By the time it reaches the last step it is discarded. Why?
Thanks
JK
roknroll3 11 months ago
@roknroll3 Do you mean at about 3:30 in?
FreeAcademy 11 months ago
@FreeAcademy yes, between 3:30 and 3:48
thanks for taking the time to reply
JK
roknroll3 11 months ago
@roknroll3 It's part of the definition of the integral. Remember from your lectures on derivatives (particularly implicit differentiation) that we get du's (or dx's) when we take the derivative of a variable. The integral is the inverse operation of a derivative (AKA an anti-derivative). So we get the du's when we take a derivative, & remove them when we take the integral. I hope this answers your question! Also we have an improved calc course online @ youtube.com/my_playlists?p=44BA048EB8B392E6
FreeAcademy 11 months ago