d x = \int \frac { 1 } { 1 - x ^ { 2 } } d x
d uchun yechish
\left\{\begin{matrix}d=\frac{С}{x}-\frac{\ln(\frac{|x-1|}{|x+1|})}{2x}\text{, }&x\neq 0\text{ and }|x|\neq 1\\d\in \mathrm{R}\text{, }&x=0\text{ and }С=0\end{matrix}\right,
Baham ko'rish
Klipbordga nusxa olish
xd=-\frac{\ln(\frac{|x-1|}{|x+1|})}{2}+С
Tenglama standart shaklda.
\frac{xd}{x}=\frac{-\frac{\ln(\frac{|x-1|}{|x+1|})}{2}+С}{x}
Ikki tarafini x ga bo‘ling.
d=\frac{-\frac{\ln(\frac{|x-1|}{|x+1|})}{2}+С}{x}
x ga bo'lish x ga ko'paytirishni bekor qiladi.
Misollar
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Simli tenglama
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Chegaralar
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