antidifferentiation
/¦an-ˌtī-ˌdi-fə-ˌren(t)-shē-¦ā-shən ¦an-tē-/ (ame, mw)
antidifferentiation — noun
1. the mathematical operation that, given a function, produces another function who
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.
antidifferentiation to find the antiderivative of 2x
The professor asked Gabriela to explain how antidifferentiation reverses the process of differentiation.
antidifferentiation reverses the process of differentiation
The students practised antidifferentiation on several polynomial functions, finding an antiderivative for each one.
Mandla found that mastering antidifferentiation helped him understand integration more deeply.
Raj used the antidifferentiation formula to find the area under a curve for his homework.
- 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.