It might be trivial, but it was an **integral** part of their marriage.

He was therefore compelled to make excisions from his narrative and to accept as **integral** parts of his work passages interpolated by the censors.

The French emperor, at the supposed request of the doge of Genoa, declared the Ligurian Republic to be an **integral** part of the French empire.

This is the binomial theorem for a positive **integral** index.

It filled her whole soul, had become an **integral** part of herself, and she no longer struggled against it.

Hungary, deprived of her ancient constitution, became an **integral** part of the Austrian empire.

Thus Siena was annexed to the Florentine state under the same ruler and became an **integral** part of the grand-duchy of Tuscany.

We find that fractions follow certain laws corresponding exactly with those of **integral** multipliers, and we are therefore able to deal with the fractional numbers as if they were integers.

Bright colours (especially red) are frequent, and the white chemise is an **integral** part of the dress.

This latter work included the differential and **integral** calculus, the calculus of variations, the theory of attractions, and analytical mechanics.

Reading is an **integral** part of any child's education, laying the foundation for communication and comprehension skills.

It is an **integral** part of an individual organization and as such the exercise of its functions must be governed by the organism as a whole.

Susan is such an **integral** person in our organization. Her industry knowledge is second to none.

This "tree city's" life still revolves around the railroad, although the creameries and mills that were once **integral** to Branchville have long since closed.

On the one hand it was declared that the kingdom of Hungary was an **integral** part of the Habsburg dominions and inseparable from these so long as a male or female heir of the kings Charles, Joseph and Leopold should be found to succeed to them.

If, however, we specify that all forms are to be rational, but not necessarily **integral** functions, a new system of forms arises which is easily obtainable.

P. Gordan first proved that for any system of forms there exists a finite number of covariants, in terms of which all others are expressible as rational and **integral** functions.