Essential Concepts
- The integration-by-parts formula allows the exchange of one integral for another, possibly easier, integral.
- Integration by parts applies to both definite and indefinite integrals.
Key Equations
- Integration by parts formula
[latex]\displaystyle\int udv=uv-\displaystyle\int vdu[/latex] - Integration by parts for definite integrals
[latex]{\displaystyle\int }_{a}^{b}udv={uv|}_{a}^{b}-{\displaystyle\int }_{a}^{b}vdu[/latex]
Glossary
- integration by parts
- a technique of integration that allows the exchange of one integral for another using the formula [latex]{\displaystyle\int}udv=uv-{\displaystyle\int}vdu[/latex]