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Evaluate: int(sinx)/(sqrt(cos^2x-2cosx-3...

Evaluate: `int(sinx)/(sqrt(cos^2x-2cosx-3))\ dx`

Text Solution

Verified by Experts

Given,
I=`int(sinx)/(sqrt(cos^2x-2cosx-3))\ dx`
I=`int(sinx)/(sqrt(cos^2x-2cosx+1-4))\ dx`
I=`int(sinx)/(sqrt((cosx-1)^2+2^2)) dx`
Let `t=cosx−1`
`−dt=sinxdx`
Therefore,
...
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