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schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
(1 point)
If f(x) dx=-3 and fo g(x) dx = -7, what is the value of ff f(x)g(y) dA,
where D is the rectangle: 9-3, 0 ≤ y ≤ 8?
HINT. Use Fubini's theorem. You will see that the integral will get factored.
If you do not see that, go to the textbook of Stewart. That will help.
NOTE. An ordinary integral depends only on the function being integrated (the "integrand") and the interval of integration
the notation of the variable of integration. This is similar to summation: Σ and Σk are the same - both m
29(y)dy are the same each one equals the area under the graph of g over the interval (-2, 9]
29(x)dx and
g is nonnegative).
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