Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph.

2020年11月10日 · We answer the first part of this question by defining antiderivatives. 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.

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. This can be stated symbolically as F' = f.

Antiderivative rules are some of the important rules to find the antiderivatives of different forms of combinations of a function. We can use these antiderivative rules to find the antiderivatives of product, quotient, sum, difference, scalar multiple, and composition of functions.

2024年12月31日 · An antiderivative is a function that reverses the process of differentiation. It is also known as the indefinite integral. If F(x) is the antiderivative of f(x), it means that: d/dx[F(x)] = f(x) In other words, F(x) is a function whose derivative is f(x).

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.

2024年12月29日 · 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.

2023年1月7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.

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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. Note: the word "integral" has a broader meaning, including the computation of areas and other quantities. Illustrated definition of Antiderivative: The opposite operation of differentiation.