# Step-by-step Solution

## Integrate $\int\log \left(8\right)x^5xdx$ with respect to x

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### Videos

$0.129x^{7}+C_0$

## Step-by-step explanation

Problem to solve:

$\int\left(x^5log\left(8x\right)\right)dx$
1

Evaluating the logarithm of base $10$ of $8$

$\int\frac{3}{\sqrt{2}}x^5xdx$
2

When multiplying exponents with same base you can add the exponents

$\int\frac{3}{\sqrt{2}}x^{6}dx$

$0.129x^{7}+C_0$
$\int\left(x^5log\left(8x\right)\right)dx$

### Main topic:

Integral calculus

~ 0.02 seconds