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Main Question or Discussion Point
I am studying 'Integration'
These are the questions I have been thinking of, but i still did not get it.
1.I understood the basic concept of dx and dy
But I don't know what exactly does dx stand for in the definite and indefinite Integrals.
[tex]\int x^3\, dx\right)[/tex]
2. I have read a proof in book about integration product
[tex]y = u*v [/tex]
[tex]dy = du*v + u*dv[/tex]
[tex]\int\, dy\right = \int v\, du\right + \int u\, dv\right[/tex]
[tex]\int u\, dv\right = uv - \int v\, du\right[/tex]
I think it might be not serious enought.
- Why is it without dy? I think it should be [tex]dy/dx = v*du/dx+u*dv/dx[/tex] first.
These are the questions I have been thinking of, but i still did not get it.
1.I understood the basic concept of dx and dy
But I don't know what exactly does dx stand for in the definite and indefinite Integrals.
[tex]\int x^3\, dx\right)[/tex]
2. I have read a proof in book about integration product
[tex]y = u*v [/tex]
[tex]dy = du*v + u*dv[/tex]
[tex]\int\, dy\right = \int v\, du\right + \int u\, dv\right[/tex]
[tex]\int u\, dv\right = uv - \int v\, du\right[/tex]
I think it might be not serious enought.
- Why is it without dy? I think it should be [tex]dy/dx = v*du/dx+u*dv/dx[/tex] first.
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