Noun: integral
| Singular | integral |
| Plural | integrals |
Sample Sentences
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The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!
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The integral of #92;frac#123;1#125;#123;x#125; on #91;#92;frac#123;1#125;#123;2#125;,1#93; is #92;ln(2), but the integral of the same function on (0,1#93; diverges. In notation, #92;int#95;#92;frac#123;1#125;#123;2#125;¹#92;frac#123;1#125;#123;x#125;dx#61;#92;ln(2), but #92;int#95;0¹#92;frac#123;1#125;#123;x#125;dx#61;#92;infty.
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Stokes' theorem relates the integral over a surface of the curl of a vector field to a line integral around the boundary of that surface: #92;int#95;S#92;nabla#92;times#92;mathbf#123;F#125;#92;cdotd#92;mathbf#123;S#125;#61;#92;int#95;#123;#92;partialS#125;#92;mathbf#123;F#125;#92;cdotd#92;mathbf#123;r#125;,.
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The integral of x² is #92;frac#123;x³#125;#123;3#125; plus a constant.
Nouns inflected like integral
soldier's woundwort,
Nicosian,
whopper,
greypate,
tactile sign language,
chronotrope,
Rosie Lee,
dissentient,
photoinactivator,
sulphonediimine,
coastal waterfall,
residuary devise,
bituminization,
nitrosonaphthol,
smṛiti,
geosphere,
backscreen,
mensuralist,
flocculate,
flocculant, etc. (List truncated at 20 nouns)
Etymology
Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer. See: Latin Nouns '
integer'.
Verbs referencing "integral"
Finnish Nouns
integraali.