积分函数,
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积分函数,
积分函数,
积分函数,
∫dx/(x^2-2)
=∫dx/[(x+√2)(x-√2)]
=1/(2√2)*∫[(x+√2)-(x-√2)]dx/[(x+√2)(x-√2)]
=1/(2√2)*[∫dx/(x-√2)-∫dx/(x+√2)]
=1/(2√2)*(ln|x-√2|-ln|x+√2|)+C
=1/(2√2)*ln|(x-√2)/(x+√2)|+C