Math Problems and solutions
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9.1.14 Double integrals
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9.1.20 Double integrals
9.1.22 Double integrals
9.1.25 Double integrals
![Problem: Change the order of integration in iterated integral: \[ \int_{-1}^{1} d x \int_{x^{2}}^{2-x^{2}} f(x, y) d y \]](/storage/uploads/task_mls/948/en/9.1.14.png){kind=link}
![Problem: Find the double integral over the given area \( D \) : \[ \iint_{(D)}(12-2 x-3 y) d x d y, \quad D:\left\{\begin{array}{l} 12-2 x-3 y=0 \\ x=0, \quad y=0 \end{array}\right. \]](/storage/uploads/task_mls/961/en/9.1.20.png){kind=link}
![Problem: Use the double integral to calculate the area of the given region \( D \) : \[ D:\left\{\begin{array}{l} x=0, y=0 \\ x+y=1 \end{array}\right. \]](/storage/uploads/task_mls/963/en/9.1.22.png){kind=link}
![Problem: Find the double integral over the given region: \[ \iint_{D}\left(x^{3}+y^{3}\right) d x d y, \quad D:\left\{\begin{array}{ll} x=0, & x=3 \\ y=1, & y=4 \end{array}\right. \]](/storage/uploads/task_mls/966/en/9.1.25.png){kind=link}