antidifferentiation
/¦an-ˌtī-ˌdi-fə-ˌren(t)-shē-¦ā-shən ¦an-tē-/ (ame, mw)
antidifferentiation — 名詞
1. the mathematical operation that, given a function, produces another function who
反微分
求函數反導數的運算
the mathematical operation that, given a function, produces another function whose derivative equals the original one — the process of undoing differentiation to obtain all possible antiderivatives
James used antidifferentiation to find the antiderivative of 2x, obtaining x² plus a constant.
James 利用反微分求 2x 的反導數，得到 x² 加上一個常數。
antidifferentiation to find the antiderivative of 2x
The professor asked Gabriela to explain how antidifferentiation reverses the process of differentiation.
教授請 Gabriela 說明反微分如何反轉微分的過程。
antidifferentiation reverses the process of differentiation
The students practised antidifferentiation on several polynomial functions, finding an antiderivative for each one.
學生們在幾個多項式函數上練習反微分，為每一個函數找出反導數。
Mandla found that mastering antidifferentiation helped him understand integration more deeply.
Mandla 發現掌握反微分能幫助他更深入理解積分。
Raj used the antidifferentiation formula to find the area under a curve for his homework.
Raj 用反微分公式來計算曲線下面積，完成他的作業。
- indefinite integration
more common in textbooks; antidifferentiation emphasises the inverse relationship to differentiation
- anti-differentiation
alternative spelling with a hyphen, less common in modern usage
- differentiation
the opposite operation; differentiation finds the derivative of a function
用法筆記
Frequently taught alongside differentiation in introductory calculus courses. Often introduced before definite integrals.