Antiderivative Calculator - Symbolab
Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph.
4.9: Antiderivatives - Mathematics LibreTexts
2020年11月10日 · The antiderivative of a function \ (f\) is a function with a derivative \ (f\). Why are we interested in antiderivatives? The need for antiderivatives arises in many situations, and we look at various examples throughout the remainder of the text. Here we examine one specific example that involves rectilinear motion.
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 equal to the original function f.
Antiderivative Rules - List, Formulas, Examples | What are ...
The antiderivative rules in calculus are basic rules that are used to find the antiderivatives of different combinations of functions. As the name suggests, antidifferentiation is the reverse process of differentiation.
Antiderivative Definition (Illustrated Mathematics Dictionary)
The opposite operation of differentiation. Also known as the indefinite integral. It is a function that, when differentiated, yields the original function. For example, the antiderivative of 2x is x 2, because the derivative of x 2 is 2x.
4.10 Antiderivatives - Calculus Volume 1 - OpenStax
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 integrals. 4.10.4 Use antidifferentiation to solve simple initial-value problems.
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 antidifferentiation to solve simple initial-value problems.
Antiderivatives – Calculus Tutorials - Harvey Mudd College
Antiderivatives. Let f(x) be continuous on [a, b]. If G(x) is continuous on [a, b] and G ′ (x) = f(x) for all x ∈ (a, b), then G is called an antiderivative of f. We can construct antiderivatives by integrating.
5.3: Antiderivatives & the Indefinite Integral
2021年7月30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 = F(x) + C. The expression f(x) is called the integrand and the variable x …
12.1 The Anti-derivative - MIT Mathematics
Thus the antiderivative of \(\cos x\) is \((\sin x) + c\). The more common name for the antiderivative is the indefinite integral. This is the identical notion, merely a different name for it.