The power rule of integration is used to integrate the terms that are of the form "variable raised to exponent". By the power rule, the integral of x n is (x n+1) / (n+1) + C.

For x 2 we use the Power Rule with n=2: So for derivatives we have: And for integration we reverse the rule: The integral of xn is 1 (n+1) x(n+1) + C, for n ≠ -1. Here, C is the constant of integration. We …

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 and fractional …

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 in …

See how it works and where it is needed.

In this explainer, we will be particularly interested in determining indefinite integrals of the form 𝑥 𝑥 d using the power rule of integration. We can determine this rule directly from the power rule of differentiation.

We apply the general power formula to integrals involving trignometry, logarithms and exponential functions.