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int(1)/(sqrt(sin^(3)xsin(x+alpha)))dx,al...

`int(1)/(sqrt(sin^(3)xsin(x+alpha)))dx,alpha!=npi,nin Z` is equal to a)`-2" cosec "alpha(cosalpha-tanxsinalpha)^(1//2)+C` b)`-2(cosalpha+cotxsinalpha)^(1//2)+C` c)`-2" cosec "alpha(cosalpha+cotxsin alpha)^(1//2)+C` d)`-2" cosec "alpha(sinalpha+cotxcosalpha)^(1//2)+C`

A

`-2" cosec "alpha(cosalpha-tanxsinalpha)^(1//2)+C`

B

`-2(cosalpha+cotxsinalpha)^(1//2)+C`

C

`-2" cosec "alpha(cosalpha+cotxsin alpha)^(1//2)+C`

D

`-2" cosec "alpha(sinalpha+cotxcosalpha)^(1//2)+C`

Text Solution

Verified by Experts

The correct Answer is:
C
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