Question: Use the map This integral is an improper integral since the integrand is infinite if x = 1 and y = 1, but applying

Use the map

to evaluate the integral X = sin u COS V y = sin v COS U dx dy 1-xy

This integral is an improper integral since the integrand is infinite if x = ±1 and y = ± 1, but applying the Change of Variables Formula shows that the result is finite.

to evaluate the integral X = sin u COS V y = sin v COS U dx dy 1-xy

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