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Answer :

Answer:

The result of the integration is [tex]\frac{x^5}{5}[/tex]

Step-by-step explanation:

Integration of a power of x:

The integration of a power of x is:

[tex]\int x^{n} dx = \frac{x^{n+1}}{n+1}[/tex]

In this question:

[tex]n = 4[/tex]. So

[tex]\int x^{4} dx = \frac{x^{4+1}}{4+1} = \frac{x^5}{5}[/tex]

The result of the integration is [tex]\frac{x^5}{5}[/tex]