Division points
rewrites the product differential rule into an integral calculation method.
symbols, variables and units
u,v: function; u′,v′: corresponding derivative; a,b: upper and lower bounds.
applicable conditions and boundaries
It is a sufficient condition that u,v are continuously differentiable; the endpoint term cannot be omitted.
formula source code
The following is a copyable LaTeX expression.
\int_a^b u v'\,dx=[uv]_a^b-\int_a^b u'v\,dx
Reference and Extended Learning
OpenStax · Calculus ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
integration by partspoints