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The value of x such that x > 1, satisfying the equation ∫₁^x t ln t dt = 1/4 is

1. √e
2. e
3. e²
4. e − 1

Correct answer: √e

Solution

The correct option, √e, satisfies the integral equation because when evaluated, it results in the area under the curve from 1 to √e equaling 1/4, confirming that it meets the condition of the problem.

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