WordReference English-Spanish Dictionary © 2014:

Principal Translations
integral adjadjective: Describes a noun or pronoun--for example, "a tall girl," "an interesting book," "a big house." (important part)esencial adjadjetivo: Describe el sustantivo. Puede ser posesivo, numeral, demostrativo ("casa grande", "mujer alta").
  fundamental adjadjetivo: Describe el sustantivo. Puede ser posesivo, numeral, demostrativo ("casa grande", "mujer alta").
integral adjadjective: Describes a noun or pronoun--for example, "a tall girl," "an interesting book," "a big house." (constituent part of)integrante adjadjetivo: Describe el sustantivo. Puede ser posesivo, numeral, demostrativo ("casa grande", "mujer alta").
 
Additional Translations
integral adjadjective: Describes a noun or pronoun--for example, "a tall girl," "an interesting book," "a big house." (arithmetic: not fractional)  (número)entero adjadjetivo: Describe el sustantivo. Puede ser posesivo, numeral, demostrativo ("casa grande", "mujer alta").
  completo adjadjetivo: Describe el sustantivo. Puede ser posesivo, numeral, demostrativo ("casa grande", "mujer alta").
integral nnoun: Refers to person, place, thing, quality, etc. (mathematics)  (matemáticas)integral nfnombre femenino: Sustantivo de género exclusivamente femenino ("mesa", "tabla").
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WordReference English-Spanish Dictionary © 2014:

Compound Forms:
integral calculus cálculo integral nmnombre masculino: Sustantivo de género exclusivamente masculino ("televisor", "piso").
integral equation ecuación integral nfnombre femenino: Sustantivo de género exclusivamente femenino ("mesa", "tabla").
integral part (of [sth]) nnoun: Refers to person, place, thing, quality, etc. (inextricable aspect)parte esencial de nf + prep
 The computer has become an integral part of our business operation.
 La computadora se ha vuelto una parte esencial del funcionamiento de nuestro negocio.
line integral (Mathematics)integral de línea nfnombre femenino: Sustantivo de género exclusivamente femenino ("mesa", "tabla").
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