Consider the iterated integral I D Z p3 0 dy Z p4?y2 y=p3 e?
Question and Solution
Consider the iterated integral I D Z p3 0 dy Z p4?y2 y=p3 e?x2?y2 dx:(a) Write I as a double integral ZZ R e?x2?y2 dA, a
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Consider the iterated integral I D Z p3 0 dy Z p4?y2 y=p3 e?x2?y2 dx:(a) Write I as a double integral ZZ R e?x2?y2 dA, and sketch the region R over which the double integral is taken. (b) Write I as an iterated integral with the order of integrations reversed from that of the given iteration. (c) Write I as an iterated integral in polar coordinates. (d) Evaluate I .
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