Question

Yes, I have a question: Please how come when integrating a function the function always has dx at the end?

Answer 1

integrate with respect to x..

Answer 2

if it's dy then integrate with respect to y

Answer 3

its about the units as well. Integration gives the area under the curve by adding the area of an infinite amount of rectangles, where the height of the rectangle is f(x) and the width is dx.

Answer 4

its also considered to be apart of the notation

Answer 5

\[\int\limits_{}^{} dx\]
one symbol

Answer 6

it is kindof important to know what we are integrating with respect to

Answer 7

although its frowned upon by the purists we can think of dx as being ' a very very small bit of x'. it is the width of one of the many rectangles under the curve.

Answer 8

@myininaya - yes it is part of the notation i was asking metacognitively

Answer 9

ok

Answer 10

Thanks y'all. I grasp much the dy/dx thing change in y with respect to x, so i was looking for a formal proof why dx is added wen integrating wrt x

Answer 11

Hey joe.. I think i know what to do with that question.. will post it later as a new thread once I finish it.. if you're curious..

Answer 12

i am, please do :)

Answer 13

wheres the duck?

Answer 14

i dont get this without the duck sorry

Answer 15

and joe u were right about the individual matrix from the base stuff..

Answer 16

joe is always right

Answer 17

Charles? hes still in that river lol. what would he be doing on the Cartesian plane? Silly Myininaya :P lol
@bahrom the idea makes sense to me, im just not entirely comfortable working with a vector space of matrices >.< so i dont see the notation.
and im not always right >.>

Answer 18

he is future duck!

Answer 19

he can go everywhere and anywhere

Answer 20

hey joe ill finish this later on.. gotta do smth.. will post the answer sumtime when i see u online..