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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

Let f(2 - x) = f(2 + x) and f(4 - x) = f(4 + x) . Function f(x) satisfies ₀^2 f(x) dx = 5 . If ₀⁵⁰ f(x) dx = I . Find [ I - 3] . *(where [ ] denotes greatest integer function.)*

Correct answer

8

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