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Application of Integration

Section: Mathematics

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Question : 3

Total: 28

Let the function f:[1,∞)⟶  be defined by

‌ if ‌t=2n−1

‌ if ‌2n−1<t<2n+1

f(t)‌dt,x∈(1,∞) . Let α denote the number of solutions of the equation g(x)=0 in the interval (1,8] and β=

. Then the value of α+β is equal to _______ .

[JEE Adv 2024 P2]

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