I-have-recently-seen-a-different-notation-for-integration-written-as-dxf-x-e-g-dx-x-1-2-Is-this-the-same-as-f-x-dx-x-1-2-

Question Number 22051 by FilupS last updated on 10/Oct/17

I have recently seen a different notation

for integration, written as :

\int d x f (x)

e . g .

\int d x {(x + 1)}^{2}

Is this the same as :

\int f (x) d x

\Rightarrow = \int {(x + 1)}^{2} d x

? ? ?

Commented by Joel577 last updated on 10/Oct/17

I t h i n k i t i s s a m e

Commented by Joel577 last updated on 10/Oct/17

o r m a y b e (\int d x) . f (x)

Commented by FilupS last updated on 10/Oct/17

I {don}^{'} t think so .

Without going into details,

they got something in form :

\int d x f (x) = F (x) + c

but I am only aware of the form :

\int f (x) d x = F (x) + c

to me : \int d x f (x) = (\int d x) (f (x))

whereas : \int f (x) d x \neq (\int d x) (f (x)), because :

\int f (x) d x = (F (x)) (\int d x)

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