作业帮如图不定积分怎么求.
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如图不定积分怎么求.
如图不定积分怎么求.
如图不定积分怎么求.
原式=∫du/(u(u-2))=1/2∫(1/(u-2)-1/u)du=1/2∫du/(u-2)-1/2∫du/u=1/2ln|u-2|-1/2ln|u|+C=1/2ln|(u-2)/u|+C
原式=1/2*∫[1/(u-2)-1/u]du
=1/2*(ln|u-2|-ln|u|)+C
∫du/(u^2-2u)
=∫du/u(u-2)
=∫du/[1/u-1/(u-2)]
=∫du/u-∫du/(u-2)
=ln|u|-ln|u-2|+C
=ln|u/(u-2)| +C