In calculus, this reversal has a name: the antiderivative. While derivatives break down motion and change into their smallest parts, antiderivatives do the opposite, they build up the original …

To find antiderivatives, integrate the given function using formulas, substitution method, integration by parts, or integration by partial fractions. The final result will have a constant of …

In this math video I (Susanne) explain how to find the antiderivatives of polynomial functions. We go through the examples of Calculus step by step and make the opposite of the...

Jul 23, 2025 · Use the partial fraction method for finding the antiderivative of any function. Also, use the properties of definite integral for finding the antiderivative of definite function.

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 …

Oct 16, 2025 · Alright, let's get our hands dirty and find some antiderivatives. We'll go through each function one by one, showing you the steps and explaining the reasoning behind them.

Calculus: How to find Antiderivatives, the formula for the antiderivatives of powers of x and the formulas for the derivatives and antiderivatives of trigonometric functions, antiderivatives and …

We examine various techniques for finding antiderivatives of more complicated functions in the second volume of this text ( Introduction to Techniques of Integration ).

Antiderivatives are essential for solving problems where you need to reverse the process of differentiation. For instance, consider rectilinear motion: If you know an object’s position …

We can however use what we know about differentiating, and the consequences of the differentiation rules to find antiderivatives for many kinds of functions. We will study methods …