计算不定积分arctg√xdx

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计算不定积分arctg√xdx计算不定积分arctg√xdx计算不定积分arctg√xdx∫arctg√xdx=xarctg√x-∫xdarctg√x=xarctg√x-∫x/(1+x)d√x=xar

计算不定积分arctg√xdx
计算不定积分arctg√xdx

计算不定积分arctg√xdx
∫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