All 3 Uses

integral
in
Harriet Tubman, by Petry
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Fishing and hunting were an integral part of it, just as it had been part of the life of the Indians, who had practically disappeared from the Eastern Shore by 1750.†
Chpt 1 *

integral = an essential part or characteristic
Yet it was an integral part of the heritage of all Americans, and so it troubled the minds of men in the North and in the South, long after Jefferson's death.†
Chpt 3
She had a highly developed sense of the dramatic, a sense of the comic, and because in her early years she had memorized verses from the Bible, word for word, the surge and sway of the majestic rhythm of the King James version of the Bible was an integral part of her speech.†
Chpt 22

Definitions:

(1) (integral as in: integral part)
an essential part or characteristic
(2) (meaning too rare to warrant focus)
Less commonly, Integral can refer to something that is contained within something else; or be used to refer to completeness, to integers, and to mathematical integration.