It is interesting to see what a computer algebra system does with iterated integrals

Chapter 5, Problem 20

(choose chapter or problem)

It is interesting to see what a computer algebra system does with iterated integrals that are difficult or impossible to integrate in the order given. In Exercises 1921, experiment with a computer to evaluate the given integrals.(a) See if your computer can calculate 3 0 9 x2 x sin (y2) dy dx as it is written. (b) Now reverse the order of integration and have your computer evaluate your new iterated integral. Which of the computations in parts (a) or (b) is easier for your computer?

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