Calculus • Step-by-Step

Integral of x³ dx with Steps

Step-by-step integration of x³ dx using the power rule to obtain x⁴/4 + C with constant of integration.

Problem Statement

\int x^3 \, dx

Final Result

F(x) = \frac{x^{4}}{4} + C

Formula Required: Power Rule for Integration

Add 1 to the power (3 + 1 = 4) and divide by 4.

\int x^3 \, dx = \frac{x^{3+1}}{3+1} + C = \frac{x^4}{4} + C

2 Steps

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

\int \left( x^{3} \right) \, dx

Apply the Power Rule for Integration to find the antiderivative.

F(x) = \frac{x^{4}}{4}

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

The integral of x³ is x⁴/4 + C.