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Calculate the Iterated Integral 12(01/x2x3ex3ydy)\int _ { - 1 } ^ { 2 } \left( \int _ { 0 } ^ { 1 / x ^ { 2 } } x ^ { 3 } e ^ { x ^ { 3 } y } d y \right)

Question 35

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Calculate the iterated integral 12(01/x2x3ex3ydy)\int _ { - 1 } ^ { 2 } \left( \int _ { 0 } ^ { 1 / x ^ { 2 } } x ^ { 3 } e ^ { x ^ { 3 } y } d y \right) dx.
Enter your answer exactly in the form eae ^ { a } ± b - eC\mathrm { e } ^ { \mathrm { C } } .

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