How do I find the definite integral of (a/x^2) * (1/sqrt(1-(2a/x))) with steps?

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SUMMARY

The discussion focuses on finding the definite integral of the expression (a/x^2) * (1/sqrt(1-(2a/x))) from x to infinity. The user requests a step-by-step solution, while another participant suggests using substitution by letting y = a/x and changing dx to dy. This method simplifies the integral and is a common technique in calculus for handling improper integrals.

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beeresearch
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Hi,

Could someone show me how to find the definite integral from x to x = ∞ of the following expression?F*dx = [(a/x^2) * (1/sqrt(1-(2a/x)))] * dx

Show steps please..

Thanks..

Steven
 
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if you need the final answer - try online integral calculators.
if you need steps - try to replace a/x with y and change the dx to dy
 

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