37862962
Description
Quiz by jonatas Vieira, updated more than 1 year ago
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Question 1
Question
Calcule a integral iterada \(\int_{1}^{3}\int_{0}^{1}(1+4xy)dxdy\)
Answer
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10
-
0
-
12
-
3
Question 2
Question
Calcule a integral iterada \(\int_{0}^{\pi/2}\int_{0}^{\pi/2} sen(x).cos(y)dydx\)
Answer
-
1
-
10
-
0
-
5
Question 3
Question
Calcule a integral iterada \(\int_{0}^{2}\int_{0}^{1}(2x+y)^8dxdy\).
Answer
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\(\frac{2^{20} - 2^{11}}{180}\)
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\(\frac{2^{10}}{180}\)
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\(\frac{1}{9}\)
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1024
Question 4
Question
Calcule a integral iterada \(\int_{0}^{1}\int_{1}^{2}\frac{xe^x}{y}dydx\)
Answer
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\(\ln(2)\)
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0
-
1
-
\(e\ln(2)\)
Question 5
Question
Calcule a integral dupla \(\int\int_{R}\frac{xy^2}{x^2+1}dA\), onde \(R = \{(x, y)\in \mathbb{R}^2; 0\leq x \leq 1, \, -3\leq y\leq 3\}\)
Answer
-
\(9\ln(2)\)
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\(\ln(2)\)
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\(18\ln(2)\)
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9
Question 6
Question
Calcule a integral dupla \(\int\int_{R}xye^{x^2y}dA\), onde \(R = [0,1]\times[0,2]\).
Answer
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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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\(e - 1\)
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