oblicz pole obszaru

[LudwikM]

oblicz pole obszaru ograniczonego krzywymi \(x^2+y^2=5, y= \frac{2}{x} \)

[kerajs]

\(P=\int_{- \sqrt{5} }^{-2}( \sqrt{5-x^2}-(-\sqrt{5-x^2}) ) dx+\int_{- 2}^{-1}( \sqrt{5-x^2}- \frac{2}{x} ) dx+ \\ + \int_{- 1 }^{1}( \sqrt{5-x^2}-(-\sqrt{5-x^2}) ) dx+\int_{1 }^{2}( \frac{2}{x} -(-\sqrt{5-x^2}) ) dx+\int_{2}^{ \sqrt{5} }( \sqrt{5-x^2}-(-\sqrt{5-x^2}) ) dx=...\)