Lebesgue integral

Sex and drugs and rock ‘n’ roll have always been an integral part of her story.
Sex, Drugs, and Kate Moss: Secrets of a Wild Supermodel|Tom Sykes|October 9, 2014|DAILY BEAST
Throwing up is an integral part of the ceremony, and shamans encourage it.
Spirit Tripping With Colombian Shamans|Chris Allbritton|August 24, 2014|DAILY BEAST
This is because espionage has become an integral part of American statecraft.
The CIA in Germany: A Secret History|Matthew Aid|July 10, 2014|DAILY BEAST
At first this is integral to the fantasy; it's visually stimulating.
Threesomes are Actually a Terrible Idea|Aurora Snow|June 21, 2014|DAILY BEAST

Not so this time, as Fury had an integral reason for being there, and added muscle, brains and plenty of sharp lines.
How ‘Marvel’s Agents of S.H.I.E.L.D.’ Finally Found Its Way|Jason Lynch|May 14, 2014|DAILY BEAST
This tube T therefore becoming an integral part of the block itself.
The Recent Revolution in Organ Building|George Laing Miller
We are forced by the facts to regard the matter as an integral part of the business transaction related in this narrative.
Scattergood Baines|Clarence Budington Kelland
The books I could not get at, finding no way to open the transparent panels which seemed an integral part of the wall.
Valley of the Croen|Lee Tarbell
For in the view of the Greeks the words (lexis) were an integral part of the whole composition.
The Modes of Ancient Greek Music|David Binning Monro
They loved to consider themselves an integral part of the British empire.
The Loyalists of America and Their Times, Vol. 1 of 2|Egerton Ryerson