derivative
Finding an integral is the reverse of finding a derivative.
The integrals are very easy to compute.
The computing of probabilities in multidimensional spaces is a very hard problem in mathematics, being expressed by multiple integrals.

SMART Vocabulary: related words and phrases

Calculations & calculating
algebraic
algebraically
algo
algorithmic
amount
calculate
guesstimate
interpolation
inverse function
linear equation
mathematical
matrix
miscalculate
miscalculation
miscount
operator
sum
sum total
triangulate
work something out

integral | American Dictionary

integral
adjective
us/ˈɪn·tə·ɡrəl, ɪnˈteɡ·rəl/
necessary and important as a part of a whole, or contained within it:
Taking a ride on the canals of Venice is an integral part of experiencing that city.

integral | Business English

integral
adjective
uk /ˈɪntɪɡrəl/us
necessary and important as a part of something:
He's an integral part of the team and we can't do without him.
integral to sthThe reliability of our suppliers has been integral to the company's success.

Examples of integral

integral
Indeed, since the particle radius is small, the related contribution of the correlation function to all relevant integrals should be negligible.
The system has the following integrals of motion.
In this case we find exact solutions in terms of elliptic integrals of the fir st kind.
There must be two linearly independent particular integrals, because the differential equation (46) is of order two.
Results are expressed in terms of integrals involving eigenfunctions and trapped oscillation field structures, although explicit expressions for these cannot be given.
Taking this approximation into account, we can easily calculate the integrals in (16).
The equations of motion admit the six known integrals.
The sound radiation associated with the instability wave can be found by evaluating the integrals of equation (3.20).
The power integrals are obtained by respectively multiplying by ys and vi.
One might expect that a definition based on certain integrals of the temperature profile would better describe the stability of such complex systems.
2 (because of the strong weighting factors eq and e2qin the integrals).
However, such manipulation serves little purpose, since values for @areobtained easily enough by direct numerical evaluation of the integrals.
The surface and volume integrals are computed in a manner analogous to those for the six-sided elements.
The integrals which do not involve the basic state can be evaluated exactly.
Evaluation of the integrals for the cylindrical and spherical cases would yield profiles similar to the ones shown in figures 4-9.
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