Discussion
Put these steps of changing the order of a double integral in order. 1. Read the new inner limits as functions of the new outer variable 2. Write the integral with the limits in the new order 3. Sketch the region described by the given limits 4. Choose which variable is now to run on the outside
Answer: D
The sketch has to come first, since the given limits describe the region only implicitly and the new ones cannot be read off without it. The outer variable is then chosen, its full range read from the sketch, and the inner limits expressed in terms of it. Writing the integral is the last step
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