Find the following indefinite integral. $$ 8 x^{3} d x $$ $$ \int 8 x^{3} d x=\square $$

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Calculate the integral $$ \int 8x^3 dx $$.
Evaluate the integral by following steps:
- step0: Evaluate using formulas and rules:
  $$\int 8x^{3} dx$$
- step1: Use properties of integrals:
  $$8	imes \int x^{3} dx$$
- step2: Evaluate the integral:
  $$8	imes \frac{x^{3+1}}{3+1}$$
- step3: Simplify:
  $$8	imes \frac{x^{4}}{4}$$
- step4: Reduce the fraction:
  $$2x^{4}$$
- step5: Add the constant of integral C:
  $$2x^{4} + C, C \in \mathbb{R}$$
The indefinite integral of $$8x^3$$ with respect to $$x$$ is $$2x^4 + C$$, where $$C$$ is an arbitrary constant.
The integral of $$8x^3$$ with respect to $$x$$ is $$2x^4 + C$$.

Find the following indefinite integral.

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