Integration of $(x-1)/(sqrtx(x-1))$ dx?

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Answer 1 · 2018-08-02T22:19:13

$I=2sqrtx+C$ , $C in RR$

$I=int(x-1)/(sqrtx(x-1))dx$

$=intcancel((x-1)/(x-1))^(=1)*1/sqrtxdx$

$=2int1/(2sqrtx)dx$
$=2sqrtx+C$ , $C in RR$

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Integration of (x-1)/(sqrtx(x-1))(x-1)/(sqrtx(x-1)) dx?