integral

不可欠な、一体となった

全体に欠かせない部分として属し、簡単には切り離せない。

やさしい英語で： Belonging to something as a necessary part that cannot easily be removed.

• Music is an integral part of the show.
• These checks are integral to the process.
• The handle is integral to the lid and cannot be removed.

使い方： integral to something (Trust is integral to a good friendship.)

類義語： essential, necessary, built-in

反対語： inessential

よく使う表現： integral part, integral component, integral to something, integral element

積分、定積分

無限に多い微小な量を足し合わせて得られる数や式。

やさしい英語で： The number or expression found by adding up infinitely many very small amounts in calculus.

• The integral equals zero.
• We calculated the integral over the given interval.
• This definite integral gives the area under the curve.

使い方： integral of a function (The integral of this function over that interval equals four.)

よく使う表現： definite integral, evaluate an integral, integral of something

積分

無限に多い微小な量を足し合わせ、面積や体積、総量を求める操作。

やさしい英語で： A calculus operation that adds infinitely many very small amounts to find areas, volumes, or totals.

• Use an integral to find the area.
• The integral combines the small changes into a total.
• A double integral can be used to calculate volume.

使い方： integral with respect to a variable (Take the integral with respect to time.)

類義語： integration

よく使う表現： take an integral, double integral, integral sign, integral of something