Calculus • Step-by-Step

Integral of x⁴ dx with Steps

Find the integral of x⁴ dx step by step using the power rule. Formula shows exponent addition 4 + 1 = 5 to yield x⁵/5 + C.

Problem Statement

\int x^4 \, dx

Final Result

F(x) = \frac{x^{5}}{5} + C

Formula Required: Power Rule for Integration

Add 1 to the power (4 + 1 = 5) and divide by 5.

\int x^4 \, dx = \frac{x^5}{5} + C

2 Steps

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

\int \left( x^{4} \right) \, dx

Apply the Power Rule for Integration to find the antiderivative.

F(x) = \frac{x^{5}}{5}

Interactive Calculator

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

The integral of x⁴ is x⁵/5 + C.