1.

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

Answer» `int(cosx)/(sqrt(sin^(2)x-2sin x-3))dx`
यदि `sin x = t rArr cos x dx =dt` तब ,
`=int(dt)/(sqrt(t^(2)-02t-3))=int(dt)/(sqrt((t1)^(2)-2^(2))`
`=log[(t-1)+sqrt((t-1)^(2)-2^(2))]+c`
`=log[(sinx-1)+sqrt(sin^(2)x-2 sin x-3)]+c`


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