计算不定积分arctg√xdx

问题描述:

计算不定积分arctg√xdx
1个回答 分类:数学 2014-12-11

问题解答:

我来补答
∫arctg√x dx
= x arctg√x - ∫x darctg√x
= x arctg√x - ∫x/(1+x) d√x
= x arctg√x - ∫1 - 1/(1+x) d√x
= x arctg√x - √x + ∫1/(1+x) d√x
= x arctg√x - √x + arctg√x
= (x+1) arctg√x - √x
 
 
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