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

Integral of 1/(x^2)ln(x)

Answer

$\frac{-\ln\left(x\right)-1}{x}+C_0$

Step-by-step explanation

Problem

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

Use the integration by parts theorem to calculate the integral $\int\frac{\frac{\ln\left(\pm \sqrt{u}\right)}{u}}{2\left(\pm \sqrt{u}\right)}du$, using the following formula

$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$

Unlock this step-by-step solution!

Answer

$\frac{-\ln\left(x\right)-1}{x}+C_0$

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

Main topic:

Integration by parts

Used formulas:

5. See formulas

Time to solve it:

0.52 seconds