Zusammenfassung der Ressource
Frage 1
Frage
Calcule a integral iterada \(\int_{1}^{3}\int_{0}^{1}(1+4xy)dxdy\)
Frage 2
Frage
Calcule a integral iterada \(\int_{0}^{\pi/2}\int_{0}^{\pi/2} sen(x).cos(y)dydx\)
Frage 3
Frage
Calcule a integral iterada \(\int_{0}^{2}\int_{0}^{1}(2x+y)^8dxdy\).
Frage 4
Frage
Calcule a integral iterada \(\int_{0}^{1}\int_{1}^{2}\frac{xe^x}{y}dydx\)
Antworten
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\(\ln(2)\)
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0
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1
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\(e\ln(2)\)
Frage 5
Frage
Calcule a integral dupla \(\int\int_{R}\frac{xy^2}{x^2+1}dA\), onde \(R = \{(x, y)\in \mathbb{R}^2; 0\leq x \leq 1, \, -3\leq y\leq 3\}\)
Antworten
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\(9\ln(2)\)
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\(\ln(2)\)
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\(18\ln(2)\)
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9
Frage 6
Frage
Calcule a integral dupla \(\int\int_{R}xye^{x^2y}dA\), onde \(R = [0,1]\times[0,2]\).
Antworten
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\(\frac{e^2 - 3}{2}\)
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\(\frac{e}{2} \)
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\(\frac{e}{2} - 2\)
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\(e - 1\)