Explain why \! \( \*subsuperscriptbox[\(\[integral]\) , \(0\), \(3\)]\( \*subsuperscriptbox[\(\[integral]\) , \(1\), \(e^x\)]\(sin(x^2 + y^2)\) \[differentiald]y \[differentiald]x\)\)=\! \( \*subsuperscriptbox[\(\[integral]\) , \(1\), \(e^3\)]\( \*subsuperscriptbox[\(\[integral]\) , \(lny\), \(3\)]\(sin(x^2 + y^2)\) \[differentiald]x \[differentiald]y\)\). you are welcome to usemathematica here but you may find the answer not as "pretty" as you might like. as a hint, you may want to consider the region, r, over which the function is being integrated in each case and compare them. what do you notice?