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全是正规的大网站

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1/(x 1)(x 2)(x 3)=1/(x 1)[1/(x 2)-1/(x 3)]

=1/[(x 1)(x 2)]-1/[(x 1)(x 3)]

=1/(x 1)-1/(x 2)-1/2[1/(x 1)-1/(x 3)]

=1/[2(x 1)]-1/(x 2) 1/[2(x 3)]

∫x/(x a)dx=∫[1-a/(x a)]dx=x-aln|x a| C

求不定积分：

∫x/(x 1)(x 2)(x 3)dx

=∫x/[2(x 1)]-x/(x 2)-x/[2(x 3)]dx

=1/2∫x/(x 1)dx-∫x/(x 2)dx 1/2∫x/(x 3)dx

=1/2(x-ln|x 1|)-(x-2ln|x 2|) 1/2(x-3ln|x 3|) C

=-1/2ln|x 1| 2ln|x 2|-3/2ln|x 3| C

注意细节
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