$\int x^{4} d x$
Substitute n = 4: \(\boxed{\frac{x^5}{5} + C}\)
Step 1 :Apply the power rule for integration: \(\int x^n dx = \frac{x^{n+1}}{n+1} + C\)
Step 2 :Substitute n = 4: \(\boxed{\frac{x^5}{5} + C}\)