Math Problem Statement
Assinale a alternativa que determina corretamente o calculo da integral ∫1−1∫30x2−3y−7dxdy Questão 1Escolha uma opção: a. ∫1−1∫30x2−3y−7dxdy=∫1−1[x33−(3y−7)x]30dy=∫1−19y−12dy=−24 b. ∫1−1∫30x2−3y−7dxdy=∫1−1[x33−(3y+7)x]03dy=∫1−1−9y−12dy=−24 c. ∫1−1∫30x2−3y−7dxdy=∫1−1[x33−(3y+7)x]30dy=∫1−1−9y−12dy=−24 d. ∫1−1∫30x2−3y−7dxdy=∫1−1[x33+(3y+7)x]30dy=∫1−1−9y−12dy=−24 e. ∫1−1∫30x2−3y−7dydx=∫1−1[x33−(3y+7)x]30dy=∫1−1−9y−12dy=−24
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Double Integrals
Iterated Integrals
Formulas
∫a^b∫c^d f(x, y) dx dy
Integral of x^2: ∫x^2 dx = x^3 / 3
Integral of constant terms with respect to x
Theorems
Fubini's Theorem
Suitable Grade Level
University Level (Calculus 2)