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:
“The receipt to make a speaker, and an applauded one too, is short and easy.Take of common sense quantum sufficit, add a little application to the rules and orders of the House, throw obvious thoughts in a new light, and make up the whole with a large quantity of purity, correctness, and elegancy of style.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (16941773)
“I think that a young state, like a young virgin, should modestly stay at home, and wait the application of suitors for an alliance with her; and not run about offering her amity to all the world; and hazarding their refusal.... Our virgin is a jolly one; and tho at present not very rich, will in time be a great fortune, and where she has a favorable predisposition, it seems to me well worth cultivating.”
—Benjamin Franklin (17061790)
“The artistic temperament is a disease that affects amateurs.... Artists of a large and wholesome vitality get rid of their art easily, as they breathe easily or perspire easily. But in artists of less force, the thing becomes a pressure, and produces a definite pain, which is called the artistic temperament.”
—Gilbert Keith Chesterton (18741936)