计算不定积分∫x/(x+2)dx

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计算不定积分∫x/(x+2)dx
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计算不定积分∫x/(x+2)dx
计算不定积分∫x/(x+2)dx

计算不定积分∫x/(x+2)dx

.∫x/(x+2)dx=∫(x+2-2)/(x+2)dx=∫dx-∫2/(x+2)dx=x-2ln|x+2|+C

解;
∫x/(x+2)dx
=∫[(x+2)-2]/(x+2)dx
=∫[1-2/(x+2)]dx
=x-2ln/x+2/+c