Calculus • Step-by-Step

Integral of x dx with Steps

Find the integral of x dx step by step. Applies the power rule for integration with n = 1 to get x²/2 + C.

Problem Statement

\int x \, dx

Final Result

F(x) = \frac{x^{2}}{2} + C

Formula Required: Power Rule for Integration

Add 1 to the exponent and divide by the new exponent.

\int x^n \, dx = \frac{x^{n+1}}{n+1} + C \quad (n \neq -1)

2 Steps

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

\int \left( x \right) \, dx

Apply the Power Rule for Integration to find the antiderivative.

F(x) = \frac{x^{2}}{2}

Interactive Calculator

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

The integral of x is x²/2 + C. Since the power is 1, add 1 to get 2, then divide by 2.