`int_(0^(1)(e^(sqrtx))/(sqrtx)dx` का मान ज्ञात कीजिए ।

Explanation

माना `sqrtx=t`
`rArr" "(1)/(2sqrtx)dx=dt`
`rArr" "(1)/(sqrtx)dx=2dt`
`{:(x=0," पर ",t=sqrt0=0),(x=1," पर ",t=sqrt1=t):}`
`therefore" "int_(0)^(1)(e^(sqrtx))/(sqrtx)dx=int_(0)^(1)e^(t).2dt=2[e^(t)]_(0)^(1)`
`" "=2(e^(-1)-e^(0))=2(e-1)`