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Integrală dublă

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Aplicaţii Edit

Dacă \mathcal D = [0 ,1] \times [0, \pi], atunci:

\int \int _{\mathcal D} \sin (xy) dx dy = 1



Dacă \mathcal D = \{ (x, y) | x \in [1, 2], \; \frac 1 x \le y \le x     \}, atunci:

\int \int_{\mathcal D} {\frac {x^2}{y^2}} dx dy = \frac 9 4.

Dacă \mathcal D = \{ (x, y) | x^2 + 4 y^2 -2x -16 y + 13 \le 0 \}, atunci:

\int \int_{\mathcal D} (x^2 + y^2 -4x -4y +10) dx dy = \frac {17 \pi}{2}.

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Vezi şi Edit

Resurse Edit

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