Matematyka.pl

xy=(x-1)(y+1)
\frac{x}{x-1} dx = \frac{y+1}{y} dy
\int_{}^{} \frac{x}{x-1} dx = \int_{}^{} \frac{y+1}{y} dy
\int_{}^{} \frac{x}{x-1} dx = \int_{}^{} \frac{x-1+1}{x-1}dx = x+ln|x-1| + A
\int_{}^{} \frac{y+1}{y} dy = \int_{}^{} 1 + \frac{1}{y}dy = y+ln|y| + B
x+ln|x-1| + A = y + ln|y| + B ...

Oblicz:

\(\displaystyle{ \iint_{D}^{} \sqrt{ x^{2} +y^{2}} { } \ dxdy}\)

\(\displaystyle{ D=\left\{(x,y): \ x^{2}+y^{2} \le 9 \right\}}\)

Jak to rozwiązać??
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