原式=1/4∫[1/(x-2)-1/(x+2)]dx=1/4[ln(x-2)-ln(x+2)]=1/4ln[(x-2)/(x+2)]+C
由于x^2-4=(x+2)(x-2),则1/(x^2-4)=1/4*(x+2)(x-2),然后积分