Application To Definite Integrals
Passing from the case of indefinite integrals to the case of integrals over an interval, we get exactly the same form of rule (the arbitrary constant of integration disappears).
Read more about this topic: Sum Rule In Integration
Famous quotes containing the words application to, application and/or definite:
“If you would be a favourite of your king, address yourself to his weaknesses. An application to his reason will seldom prove very successful.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“It would be disingenuous, however, not to point out that some things are considered as morally certain, that is, as having sufficient certainty for application to ordinary life, even though they may be uncertain in relation to the absolute power of God.”
—René Descartes (1596–1650)
“Mathematics may be compared to a mill of exquisite workmanship, which grinds your stuff to any degree of fineness; but, nevertheless, what you get out depends on what you put in; and as the grandest mill in the world will not extract wheat flour from peascods, so pages of formulae will not get a definite result out of loose data.”
—Thomas Henry Huxley (1825–1895)