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Step-by-step Solution

Integrate ln((2*x)^0.5)n*10*x^3 from 1 to 5

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asinh
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Answer

$1603.0282n$

Step-by-step explanation

Problem to solve:

$\int_1^5\left(\sqrt{2x\:}\:\cdot\log\left(x^3\right)\:\right)dx$
1

Take the constant out of the integral

$n\int_{1}^{5}10x^3\ln\left(\sqrt{2x}\right)dx$
2

Take the constant out of the integral

$10n\int_{1}^{5} x^3\ln\left(\sqrt{2x}\right)dx$

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Answer

$1603.0282n$