Category:Integration by Parts
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This category contains pages concerning Integration by Parts:
Let $f$ and $g$ be real functions which are continuous on the closed interval $\closedint a b$.
Let $f$ and $g$ have primitives $F$ and $G$ respectively on $\closedint a b$.
Then:
Primitive
- $\ds \int \map f t \map G t \rd t = \map F t \map G t - \int \map F t \map g t \rd t$
on $\closedint a b$.
Definite Integral
- $\ds \int_a^b \map f t \map G t \rd t = \bigintlimits {\map F t \map G t} a b - \int_a^b \map F t \map g t \rd t$
This technique is called integration by parts.
Subcategories
This category has only the following subcategory.
Pages in category "Integration by Parts"
The following 8 pages are in this category, out of 8 total.