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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

Let f(2 - x) = f(2 + x) and f(4 - x) = f(4 + x) . Function f(x)...

Let f(2−x)=f(2+x)f(2 - x) = f(2 + x) and f(4−x)=f(4+x)f(4 - x) = f(4 + x). Function f(x)f(x) satisfies ∫02f(x)dx=5\int_0^2 f(x) dx = 5. If ∫050f(x)dx=I\int_0^{50} f(x) dx = I. Find [I−3][\sqrt{I} - 3]. *(where [⋅][\cdot] denotes greatest integer function.)*

Correct answer

8

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