Just as the Power Rule for Derivatives helps us find the derivative of functions like xn, the Power Rule for Integration helps us find the integral, or antiderivative, of similar functions. Integration …

To apply the power rule of integration, the exponent of x can be any number (positive, 0, or negative) just other than -1. Let us learn how to derive and apply the power rule of integration …

Jul 23, 2025 · Power Rule of integration states that integral of a variable x raised to a power n is the same variable x raised to power (n+1) divided by the power (n+1). This is a useful relation …

The power rule for integration allows us to integrate any power of x. We'll also see how to integrate powers of x on the denominator, as well as square and cubic roots, using negative …

In calculus, the power rule is used to differentiate functions of the form , whenever is a real number. Since differentiation is a linear operation on the space of differentiable functions, …

The power rule for integrals allows us to find the indefinite (and later the definite) integrals of a variety of functions like polynomials, functions involving roots, and even some rational functions.

In the following examples you will see a variety of functions which can be integrated using the power rule. The examples will cover a variety of different cases for a and n.

May 17, 2025 · Explore the fundamental power rule of integration with step-by-step derivations, practical examples, and AP Calculus problem walkthroughs.

In this mathematics article, we'll understand power rule of integration, the derivation and practical application of the power rule of integration, accompanied by numerous illustrative examples.

It provides a straightforward method to integrate functions of the form $x^n$, where $n$ is any real number, by applying a simple formula. The power rule states that the indefinite integral of …