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Change the Order of Integration in the Following Integral and Evaluate

Question 235

Essay

Change the order of integration in the following integral and evaluate: 09y3sin(πx3)dxdy\int _ { 0 } ^ { 9 } \int _ { \sqrt { y } } ^ { 3 } \sin \left( \pi x ^ { 3 } \right) d x d y .

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