Let K = ∫ 0 1 f ( x ) d x  = 0 and J = ∫ − 3 5 f ( x ) d x , where continuous f satisfies f ( x + n ) = f ( x ) for every integer n . Find J / K .

Question

Let K = ∫ 0 1 ​ f ( x ) d x  = 0 and J = ∫ − 3 5 ​ f ( x ) d x , where continuous f satisfies f ( x + n ) = f ( x ) for every integer n . Find J / K .

TestHub · Accepted Answer

The interval [-3, 5] comprises eight unit intervals. Periodicity makes the integral over each equal to K , so J = 8 K and J / K = 8.00 .

Mathematics - Definite Integration Question with Solution | TestHub

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