`int(cosx)/(3-4 sin^(2)x)dx` का मान ज्ञात कीजिए ।

Explanation

माना `" "2sin x= t " "rArr" "2 cos x dx =dt`
`therefore int(cosx)/(3-4 sin^(2)x)dx=(1)/(2)int(dt)/((sqrt3)^(2)-t^(2))`
`=(1)/(2)xx(1)/(2sqrt3)log((sqrt3+t)/(sqrt3-t))`
`=(1)/(4sqrt3)log((sqrt3 +2sinx)/(sqrt3-2 sinx))`