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The solution for x of the equation ∫_(√2)^x dt / √(t² - 1) = π/2 is

1. √3/2
2. 2√2
3. 2
4. None of these

Correct answer: None of these

Solution

The integral from √2 to x of dt / √(t² - 1) evaluates to arcsinh(x), and setting this equal to π/2 leads to x = sinh(π/2), which is not among the provided options.

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