13.
14.
15.
IntegrationBy Parts
LearningObjectives
A studentwill be able to:
- Computeby handthe integralsof a wide varietyof functionsby usingtechniqueof Integrationby Parts.
- Combinethis techniquewith the -substitutionmethodto solveintegrals.
- Learnto tabulatethe techniquewhenit is repeated.
In this sectionwe will studya techniqueof integrationthat involvesthe productof algebraicand exponential
or logarithmicfunctions,suchas
and
Integrationby partsis basedon the productrule of differentiationthat you havealreadystudied:
If we integrateeachside,
Solvingfor