Calculus • Step-by-Step

Integral of x² dx with Steps

Learn how to integrate x² step by step using the power rule. Complete formula substitution to get x³/3 + C.

Problem Statement

\int x^2 \, dx

Final Result

F(x) = \frac{x^{3}}{3} + C

Formula Required: Power Rule for Integration

Increase the exponent from 2 to 3, and divide by 3.

\int x^2 \, dx = \frac{x^{2+1}}{2+1} + C = \frac{x^3}{3} + C

2 Steps

Set up the indefinite integral with respect to variable $x$.

\int \left( x^{2} \right) \, dx

Apply the Power Rule for Integration to find the antiderivative.

F(x) = \frac{x^{3}}{3}

Interactive Calculator

Enter any equation like 2x + 8 = 20 or x² - 5x + 6 = 0 to get step-by-step solutions.

The integral of x² is (1/3)x³ + C.