Решите интеграл! Срочно. Created by shonikster. matematika-ru

Ответ:Пошаговое объяснение:

Решите интеграл! Срочно...

shonikster @shonikster

June 2022 1 2 Report

Решите интеграл!
Срочно

Answers & Comments

SkalikS

Ответ:

$arcsin(arcsin(x))$

Пошаговое объяснение:

$\int \frac{dx}{\sqrt{1-x^2}\cdot \sqrt{1-arcsin^2(x)}} = \begin{vmatrix}t = arcsin(x)\\ dt = \frac{dx}{\sqrt{1-x^2}}\end{vmatrix} =$

$\int \frac{dt}{ \sqrt{1-t^2}} = \begin{vmatrix}u = arcsin(t)\\ du = \frac{dt}{\sqrt{1-t^2}}\end{vmatrix} = \int du = u = \begin{vmatrix}\\\end{vmatrix} = arcsin(t) = \begin{vmatrix}\\\end{vmatrix} =arcsin(arcsin(x))$

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