Category:Primitive of Composite Function
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This category contains pages concerning Primitive of Composite Function:
Let $f$ and $g$ be a real functions which are integrable.
Let the composite function $g \circ f$ also be integrable.
Then:
| \(\ds \int \map {\paren {g \circ f} } x \rd x\) | \(=\) | \(\ds \int \map g u \frac {\d x} {\d u} \rd u\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \int \frac {\map g u} {\map {f'} x} \rd u\) |
where $u = \map f x$.
Pages in category "Primitive of Composite Function"
The following 2 pages are in this category, out of 2 total.