find the definite integral of [e^(arcsec x)] / [ (x)(x^2  - 1)^(1/2)]  dx as x goes from 1 to infinity

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A: Topic:- integration

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A: Solution is written in below steps.

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A: Solution is written in below steps.

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A: This can be solved as follows:

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A: Given problem:-

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A: Solution is written in below steps.

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