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integrate 1/√-logx within limits 0 to 1 with respect to x

 integrate 1/√-logx within limits 0 to 1 with respect to x

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
2 years ago
Dear Student

Substitute=−ln(x)
⟶du/dx=−1/x
⟶dx=−xdu,

Now solving:
∫(e−u/√u)du

∫(2e−v^2 / √π)dv

This is special function called Gauss error function.
In this question you’ll get to use integration of gauss error function which is not in school level.

Thanks

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