`int(dx)/(x+sqrtx)` का मान ज्ञात कीजिए ।

Explanation

माना `" "I=int(1)/(x+sqrtx)dx`
`I=int(1)/(sqrtx(sqrtx+1))dx`
माना `sqrtx+1=t`
`rArr" "(1)/(2sqrtx)=(dt)/(dx)`
`rArr" "(1)/(sqrtx)dx=2dt`
`therefore" "I=int(1)/(t)(2dt)=2logt+c`
`" "=2log(sqrtx+1)+c`