How Do You Integrate ∫(1/sqrt(1-(2/x)-((x^2)/3)))dx?

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SUMMARY

The integral ∫(1/sqrt(1-(2/x)-((x^2)/3)))dx can be approached by multiplying the integrand by x/x to simplify the expression. This technique helps eliminate the 2/x term and transforms all terms within the square root into positive powers of x. Despite this method, some users, including Nilupa, have reported difficulties in solving the integral, indicating that further techniques may be necessary for resolution.

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Nilupa
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Please help me to find this integral.

∫(1/sqrt(1-(2/x)-((x^2)/3)))dx
 
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Hey Nilupa and welcome to the forums.

Try multiplying the integral by x/x and factor out the denominators with x in it (i.e. get rid of the 2/x term and make all terms in the square root positive powers of x).
 
chiro said:
Hey Nilupa and welcome to the forums.

Try multiplying the integral by x/x and factor out the denominators with x in it (i.e. get rid of the 2/x term and make all terms in the square root positive powers of x).

Thank you,, I did that. but,it is still impossible...
 

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