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

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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...
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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