Indefinite Integral of dx/(x^2)(sqrt(4-8x^2))
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you have 1 / [ x² ( 2) √ ( 1 - 2 x² ) ]...trig sub of " x √2 = sin Θ "....
{ [ 1 / √2 ] cos Θ } / { (1 / 2 ) sin ² Θ (2) cos Θ } dΘ...integration of a csc ² Θ function
{ [ 1 / √2 ] cos Θ } / { (1 / 2 ) sin ² Θ (2) cos Θ } dΘ...integration of a csc ² Θ function