Evaluate the integral of x^4 dx.

The integral of x^4 dx is (1/5)x^5 + C, where C is the constant of integration.

To evaluate the integral of x^4 dx, we use the power rule of integration, which states that the integral of x^n dx is (1/(n+1))x^(n+1) + C, where C is the constant of integration. Applying this rule to x^4, we get:

∫ x^4 dx = (1/5) x^(4+1) + C
= (1/5) x^5 + C

Therefore, the integral of x^4 dx is (1/5) x^5 + C, where C is the constant of integration. This means that the antiderivative of x^4 is (1/5) x^5, up to an arbitrary constant. We can check this result by differentiating (1/5) x^5 with respect to x, which gives us x^4, as expected.