How to say "integral" in Japanese

• インテグラル
  nounThe katakana rendering of the English word itself. For the calculus sense use 積分 instead; this borrowing appears where the English term is carried over unchanged into Japanese.
• 一体的いったいてき
  na-adjectiveCovers 'integral' meaning parts combined into a single unified whole — hence also 'integrated' and 'seamless'. Use it for components or elements that function as one body rather than as separate pieces.
• 体系だったたいけいだった
  prenominal modifierCovers 'integral' as said of knowledge or information organized into a coherent system. The emphasis falls on systematic structure — something built into an ordered framework — rather than on being an indispensable part.
• 切っても切れないきってもきれない
  expression, i-adjectiveCovers 'integral' in the relational sense: bound to something else so closely that the two cannot be separated. The idiom pictures a connection that even a knife cannot sever, suiting close bonds and relationships.
• 積分せきぶん
  nounThe mathematical term: an integral in calculus, or integration as an operation. Use it for that technical sense; it does not cover the figurative senses of 'integral'.

For the calculus sense use 積分; for inseparable bonds 「切っても切れない」; for parts forming one unified whole 一体的; for systematized knowledge 「体系だった」; 「インテグラル」 is the direct loanword, not the mathematical term.

Usage comparisons are AI-assisted and cross-checked by multiple models; for study reference only

• インテグラルintegral
• 一体的いったいてきintegral
• 体系だったたいけいだったstructured (e.g. information)
• 切っても切れないきってもきれないinseparable (esp. bond, relationship)
• 積分せきぶんintegral