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

Explanation

माना `I=int(tan(sin^(-1)x))/(sqrt(1-x^(2)))dx`
माना `sin^(-1)x=t`
`rArr" "(1)/(sqrt(1-x^(2)))=(dt)/(dx)`
`rArr" "(1)/(sqrt(1-x^(2)))dx=dt`
`therefore" "I=inttant.dt=log|sect|+c`
`" "=log|sec(sin^(-1)x)|+c`