Stewart Ccalculus 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Remember that the limits are correlated with the integration variables in nesting pairs:
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYuLUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LVErJkludGVncmFsO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYjNictSSNtaUdGJDYlUSJzRicvJSdpdGFsaWNHRjwvRjNRJ2l0YWxpY0YnLUYvNi1RIj1GJ0YyRjVGOC9GO0Y3Rj0vRkBGN0ZBRkMvRkZRLDAuMjc3Nzc3OGVtRicvRklGWi1JI21uR0YkNiRRIjBGJ0YyLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJ0YyLUYjNidGTEZULUZnbjYkUSIxRidGMkZqbkYyLyUxc3VwZXJzY3JpcHRzaGlmdEdGaW4vJS9zdWJzY3JpcHRzaGlmdEdGaW4tRiw2Jy1GLzYtRjFGMi9GNlEmdW5zZXRGJy9GOUZbcEY6L0Y+RltwRj8vRkJGW3AvRkRGW3BGRUZILUYjNictRk02JVEidEYnRlBGUkZURmZuRmpuRjItRiM2J0ZicEZULUklbXN1cEdGJDYlRkwtRiM2JS1GZ242JFEiNkYnRjJGam5GMkZib0ZqbkYyRmJvRmRvLUZNNiVRJGNvc0YnL0ZRRjdGMi1JKG1mZW5jZWRHRiQ2JC1GIzYlLUZocDYlRkwtRiM2JS1GZ242JFEiN0YnRjJGam5GMkZib0ZqbkYyRjItRi82LVEifkYnRjJGNUY4RldGPUZYRkFGQ0ZFRkgtRi82LVEwJkRpZmZlcmVudGlhbEQ7RidGMkZqb0ZccC9GO0ZbcEZdcC9GQEZbcEZecEZfcEZFRkhGYnBGX3JGYnJGTEZqbkYy if we make explicit the substitutions we will make at each step.So the region is 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. Let s be horizontal while t is vertical to picture this in the plane.For this particular integrand independent of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==, the antiderivative is just the product of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEkY29zRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUklbXN1cEdGJDYlLUYsNiVRInRGJy9GMFEldHJ1ZUYnL0YzUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiN0YnRjJGQEZCLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lK2V4ZWN1dGFibGVHRjFGMkYyLUYsNiNRIUYnRk1GMg== with LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==, so when we substitute values for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw== into this formula, we get only that function of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEic0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw== times the result, which allows a simple u-substitution to evaluate the antiderivative by hand. Easy. 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Plug in the inner integral limits, then the next step can be done with an easy u-substitution.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 are all the steps: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, in the opposite order of integration it is a mess. Think of the s t plane. The vertical blue line below is the "t first" integral, the horizontal black line is the "s first" integral.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If we do 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, we get an integral that Maple cannot evaluate exactly.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JSFH