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Step-by-step Solution

Trigonometric integral int(ln(4*x)*n*10*x)dx

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ln
log
lim
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sin
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csc

asin
acos
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sinh
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asinh
acosh
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Answer

$\frac{5}{16}nu^2\ln\left(u\right)-\frac{5}{32}nu^2+C_0$

Step-by-step explanation

Problem to solve:

$\int_{ }^{ }4x\:\log\left(x\right)\:dx$
1

Take the constant out of the integral

$n\int10x\ln\left(4x\right)dx$
2

Take the constant out of the integral

$10n\int x\ln\left(4x\right)dx$

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Answer

$\frac{5}{16}nu^2\ln\left(u\right)-\frac{5}{32}nu^2+C_0$

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