Найдите интеграл а) √(6-5xdx) б) dx/√(1-9x^2). Created by slava0024. algebra-ru

√(1-9x^2)...

slava0024 @slava0024

June 2022 1 36 Report

Найдите интеграл
а) √(6-5xdx)
б) dx/√(1-9x^2)

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NNNLLL54

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$\int \sqrt{6-5x}dx=-\frac{1}{5}\cdot \frac{(6-5x)^{\frac{3}{2}}}{\frac{3}{2}}+C=-\frac{2}{15}\sqrt{(6-5x)^3}+C\\\\\int \frac{dx}{\sqrt{1-9x^2}}=\int \frac{dx}{\sqrt{1-(3x)^2}}=\frac{1}{3}\cdot arcsin(3x)+C$

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slava0024 July 2022 | 0 Ответы

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slava0024 June 2022 | 0 Ответы

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