`int(e^(msin^(-1)))/(sqrt(1-x^(2)))dx` का मान ज्ञात कीजिए ।

Explanation

माना `I=int(e^(msin^(-1)x))/(sqrt(1-x^(2)))dx`
माना `m sin^(-1)x=t`
`rArr" "(m)/(sqrt(1-x^(2)))=(dt)/(dx)`
`rArr" "(dx)/(sqrt(1-x^(2)))=(dt)/(m)`
`therefore" "I=inte^(t).(dt)/(x)=(1)/(m).e^(t)+c`
`" "=(1)/(m).e^(msin^(-1)x)+c`