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.

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.

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.

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.

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.

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.

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.