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Integrate the functionstan^(-1)sqrt((1-x...

Integrate the functions`tan^(-1)sqrt((1-x)/(1+x))`

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let `x=cos2 theta ∴ theta =(cos^(-1)x)/2`
`I=int tan^(−1) sqrt((1-cos2 theta)/(1+cos2 theta))dx`
`=int tan^(−1) sqrt((1-(1-2sin^2 theta)/(1+(2cos^2 theta-1)))dx`
`=int tan^(−1)(tan theta)dx`
...
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