Monday, September 19, 2022

$\int \frac{lnx^2}{x}.dx=?$ | What is integral of lnx^2/x?

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You can reach integral of (lnx^2)/x answer on this page.

What is integral of ∫lnx^2/xdx?


Question:

$\int \frac{lnx^2}{x}.dx=?$

lnx^2/x integrate



Solution:


Substituting u = lnx and $du = \frac{1}{x}dx$ , you get

$\int \frac{lnx^2}{x}dx=\int \frac{2lnx}{x}dx=2.\int u.du=2.\frac{1}{2}u^2+C = (lnx)^2+C$


$\int \frac{lnx^2}{x}.dx=(lnx)^2+C$

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