integral from x^2+3y^2 to 8-x^2-y^2 of 1

Lösung

\int_{x^{2} + 3 y^{2}}^{8 - x^{2} - y^{2}} 1 d z

- 2 x^{2} - 4 y^{2} + 8

Schritte zur Lösung

\int_{x^{2} + 3 y^{2}}^{8 - x^{2} - y^{2}} 1 d z

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot z]_{x^{2} + 3 y^{2}}^{8 - x^{2} - y^{2}}

Vereinfache

= [z]_{x^{2} + 3 y^{2}}^{8 - x^{2} - y^{2}}

Berechne die Grenzen:

- 2 x^{2} - 4 y^{2} + 8

= - 2 x^{2} - 4 y^{2} + 8

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