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Lista 1: Integral Dupla Sobre Retângulo

BOTE FÉ NA MATEMÁTICA 6 questions 5.0 (8 ratings)

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Questions in this quiz (6)

  1. 1Calcule a integral iterada \(\int_{1}^{3}\int_{0}^{1}(1+4xy)dxdy\)
    1. A10
    2. B0
    3. C12
    4. D3
  2. 2Calcule a integral iterada \(\int_{0}^{\pi/2}\int_{0}^{\pi/2} sen(x).cos(y)dydx\)
    1. A1
    2. B10
    3. C0
    4. D5
  3. 3Calcule a integral iterada \(\int_{0}^{2}\int_{0}^{1}(2x+y)^8dxdy\).
    1. A\(\frac{2^{20} - 2^{11}}{180}\)
    2. B\(\frac{2^{10}}{180}\)
    3. C\(\frac{1}{9}\)
    4. D1024
  4. 4Calcule a integral iterada \(\int_{0}^{1}\int_{1}^{2}\frac{xe^x}{y}dydx\)
    1. A\(\ln(2)\)
    2. B0
    3. C1
    4. D\(e\ln(2)\)
  5. 5Calcule a integral dupla \(\int\int_{R}\frac{xy^2}{x^2+1}dA\), onde \(R = \{(x, y)\in \mathbb{R}^2; 0\leq x \leq 1, \, -3\leq y\leq 3\}\)
    1. A\(9\ln(2)\)
    2. B\(\ln(2)\)
    3. C\(18\ln(2)\)
    4. D9
  6. 6Calcule a integral dupla \(\int\int_{R}xye^{x^2y}dA\), onde \(R = [0,1]\times[0,2]\).
    1. A\(\frac{e^2 - 3}{2}\)
    2. B\(\frac{e}{2} \)
    3. C\(\frac{e}{2} - 2\)
    4. D\(e - 1\)

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Description
Nessa Lista vamos trabalhar a resolução de integrais duplas sobre regiões retangulares. Além de fixar o conceito de integral iterada, buscamos revisar técnicas de integração.
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Português
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5.0 out of 5 · 8 ratings
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