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

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

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

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

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.

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.

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.

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.

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.