Calculus

Power Rule for Integrals - Calculus

Learn the power rule for integrals with examples, step-by-step guide, and calculator tools. Integrate power functions

The power rule for integrals is a fundamental concept in calculus. Integrate power functions. This page provides a comprehensive guide with worked examples and practical applications.

The Formula

\[\int x^n dx = \frac{x^{n+1}}{n+1} + C\]

Variables

n
Exponent (n ≠ -1)
x
Variable
C
Constant of integration

Step-by-Step Guide

  1. 1

    Step 1: Gather your data values

  2. 2

    Step 2: Apply the formula

  3. 3

    Step 3: Perform the calculations

  4. 4

    Step 4: Interpret the result

Examples

Example 1

Example 1: [2] → ∫x² dx = x³/3 + C

Example 2

Example 2: x³/3 + C

Frequently Asked Questions

What is the power rule for integrals?

Integrate power functions

How do I calculate power rule for integrals?

Use the formula: \int x^n dx = \frac{x^{n+1}}{n+1} + C. Follow the steps provided above.

What tools can help with power rule for integrals?

We provide online calculators: calculator

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