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Evaluate: int1/(sqrt(1+cos2x))dx...

Evaluate: `int1/(sqrt(1+cos2x))dx`

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We have given,
`int1/(sqrt(1+cos2x))dx`
`I=int(dx)/(sqrt(1-cos 2x))`
`I=int(dx)/(sqrt(1-1+2sin^(2)x))`
`I=(1)/(sqrt2)int(dx)/(sin x)`
`I=(1)/(sqrt2)int csc xdx`
`I=(1)/(sqrt2)int(csc x(csc x-cot x))/((csc x-cot x))dx`
Let `t=csc x-cot x`
...
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