Final answer:
The solution to the given integral √(x2 - 4/x2) dx is unclear due to potential issues in the notation of the function. An accurate solution requires clarification or correction of the integrand. Given a possible typo, a suggested solution is provided for a similar integral.
Step-by-step explanation:
The question asks to find the indefinite integral of the function √(x2 - 4/x2) dx. To solve this, we should look for algebraic simplifications or substitutions that could make the integral more straightforward.
Firstly, let's clarify if the integral is written correctly since typical notation for a root of order 7 would be written as (x2 - 4/x2)1/7. If this is the case, the function might require a substitution to solve, but given the information provided, this is unclear and thus we cannot confidently provide a solution to the integral as written.
If the function was meant to be (x2 - 4)/x2, then the integral simplifies to the integral of x2/x2 - 4/x2, which would be the integral of 1 - 4x-2 dx. This is easier to integrate, and the antiderivative would be x + 4x-1 + C, where C is the constant of integration.