tìm giúp mình nguyên hàm bài này

V

vivietnam

$I=\dfrac{1}{2}\displaystyle\int \dfrac{d(x^2)}{(x^2-1)^2-2}$
$I=\dfrac{1}{2}\displaystyle\int \dfrac{d(t)}{(t-1-\sqrt{2})(t-1+\sqrt{2})}$
$I=\dfrac{1}{4\sqrt{2}}\displaystyle\int(\dfrac{1}{t-1-\sqrt{2}}-\dfrac{1}{t-1-\sqrt{2}})dt$
$I=\dfrac{1}{4\sqrt{2}}.ln|\dfrac{t-1-\sqrt{2}}{t-1+\sqrt{2}}|+C $
 
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