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Calculate the Iterated Integral ∫01(∫0x(x−2y−7)dy)\int _ { 0 } ^ { 1 } \left( \int _ { 0 } ^ { \sqrt { x } } ( x - 2 y - 7 ) d y \right)

Question 95

Short Answer

Calculate the iterated integral ∫01(∫0x(x−2y−7)dy)\int _ { 0 } ^ { 1 } \left( \int _ { 0 } ^ { \sqrt { x } } ( x - 2 y - 7 ) d y \right) dx.
Enter just a reduced fraction of form ab\frac { a } { b } .

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