JEE Main 2024 Mathematics question

MathematicsDefinite IntegrationJEE Main 2024

Let [t] denote the largest integer less than or equal to t. If , where a, b, c ∈ Z, then a + b + c is equal to

Answer: 23

Solution

The integrand is 0, 1, 3, 4, 6, 7, 9, 10, 12 on the intervals split at 1, √2, √3, 2, √5, √6, √7,

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Question ID VK-012141