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intsinxsqrt(cos^2x-2cosx+2)dx=...

`intsinxsqrt(cos^2x-2cosx+2)dx=`

A

`(1)/(2)log|1-cosx+sqrt(cos^2x-2cosx+2)|+(1-cosx)/(2)sqrt(cos^2x-2cosx+2)+c`

B

`(-1)/(2)log|1-cosx+sqrt(cos^2x-2cosx+2)|+(1-cosx)/(2)sqrt(cos^2x-2cosx+2)+c`

C

`(1)/(2)log|cosx-1+sqrt(cos^2x-2cosx+2)|+(1-cosx)/(2)sqrt(cos^2x-2cosx+2)+c`

D

`(-1)/(2)log|cosx-1+sqrt(cos^2x-2cosx+2)|+(1-cosx)/(2)sqrt(cos^2x-2cosx+2)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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