Определённый интеграл. Created by f1naL. algebra-ru

Определённый интеграл...

f1naL @f1naL

July 2022 1 7 Report

Определённый интеграл

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yugolovin

Verified answer

$\displaystyle \int\limits_1^e \frac{dx}{x(1+\ln^2 x)}=
\int\limits_1^e\frac{d\ln x}{1+\ln^2 x}=arctg(\ln x)|_1^e=
arctg(\ln e)-arctg(\ln 1)$

$\displaystyle =arctg\ 1-arctg\ 0=\frac{\pi}{4}$

1 votes Thanks 1

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Answers & Comments

Verified answer

pomogite pozhalujsta 2lyubyh krome 1 s resheniem umolyayu srochno

helpmozhno po punktam pozhalujsta1 otvet obyasnenine23

pomogite reshit pozhalujsta8d9e4aeeb44bc743ab744fac071d6a5a 73081

netu vremeni pomogite kto svoboden pochemu lyudi interesuyutsya istoriej proshlym

sestruvymyshlennuyu vremeni netu srochno vyruchajte

fizika kulon 2 zadachi

vychislit ploshad figury ogranichennoj liniyami14c7986590f628d13dceb61c41c5d810 23655

tex]...

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tex 10 vertikalnaya cherta nyutona lejbnica

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