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\int\left(\frac{\ln\left(x\right)}{x}\right)^2dx

Integral of ((ln(x))/x)^2

Answer

$\int\frac{\ln\left(x\right)^2}{x^{2}}dx$

Step-by-step explanation

Problem

$\int\left(\frac{\ln\left(x\right)}{x}\right)^2dx$
1

The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

$\int\frac{\ln\left(x\right)^2}{x^2}dx$

Unlock this step-by-step solution!

Answer

$\int\frac{\ln\left(x\right)^2}{x^{2}}dx$
$\int\left(\frac{\ln\left(x\right)}{x}\right)^2dx$

Main topic:

Integral calculus

Used formulas:

5. See formulas

Time to solve it:

~ 1.01 seconds