sedinalana

Segrif [ln|x-√2| - ln|x+√2|]' = 1/(x-√2) - 1/(x+√2) = (x+√2)/(x^2-2) - (x-√2)/(x^2-2) = 2√2/(x^2-2)
[√(1-4x)]' = -4 / 2√(1-4x) = -2/√(1-4x)

8/(x^2-2) - 2/√(1-4x) = 2√2 * [ 2√2/(x^2-2) ] + [ -2/√(1-4x) ]
∫[ 8/(x^2-2) - 2/√(1-4x) ]dx = 2√2*[ln|x-√2| - ln|x+√2|] + √(1-4x) + C = 2√2ln( |x-√2|/|x+√2| ) + √(1-4x) + C