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Step-by-step Solution

Trigonometric integral int(ln(x^5)*n*10*8*x)dx

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Answer

$200nx^2\ln\left(x\right)-100nx^2+C_0$

Step-by-step explanation

Problem to solve:

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

Multiply $10$ times $8$

$\int80nx\ln\left(x^5\right)dx$
2

Take the constant out of the integral

$n\int80x\ln\left(x^5\right)dx$

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Answer

$200nx^2\ln\left(x\right)-100nx^2+C_0$