4.9: Antiderivatives - Mathematics LibreTexts
2020年11月10日 · Definition: Antiderivative. A function F is an antiderivative of the function f if. F'(x) = f(x) (4.9.1) for all x in the domain of f. Consider the function f(x) = 2x. Knowing the …
Antiderivative Calculator - Symbolab
Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph.
Integral symbol - Wikipedia
The integral symbol: ∫ (Unicode), (LaTeX) is used to denote integrals and antiderivatives in mathematics, especially in calculus. History.
Antiderivative - Wikipedia
In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral [Note 1] of a continuous function f is a differentiable function F whose derivative is …
Integral Symbol (∫)
In plain language, this means take the integral of the function f (x) with respect to the variable x from a to b. See integral notation for typesetting and more. The integral symbol is used to …
1.1: Antiderivatives and Indefinite Integrals
2024年11月12日 · Definition: Indefinite Integrals. Given a function f, the indefinite integral of f, denoted ∫f(x)dx, is the most general antiderivative of f. If F is an antiderivative of f, then ∫f(x)dx …
4.10 Antiderivatives - Calculus Volume 1 - OpenStax
Highlights. Learning Objectives. 4.10.1 Find the general antiderivative of a given function. 4.10.2 Explain the terms and notation used for an indefinite integral. 4.10.3 State the power rule for …
4.10: Antiderivatives - Mathematics LibreTexts
2024年8月17日 · Here we introduce notation for antiderivatives. If \(F\) is an antiderivative of \(f\), we say that \(F(x)+C\) is the most general antiderivative of \(f\) and write \[\int …
Study Guide - Antiderivatives - Symbolab
Learning Objectives. Find the general antiderivative of a given function. Explain the terms and notation used for an indefinite integral. State the power rule for integrals. Use …
The "Integral (∫)" Symbol in Mathematics
One of the most recognizable and foundational symbols is the ∫ symbol, denoting the concept of integration. This article will delve into its meaning, core applications, and offer some illustrative …
- 某些结果已被删除