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Evaluate: inttan^(-1)sqrt((1-x)/(1+x))dx...

Evaluate: `inttan^(-1)sqrt((1-x)/(1+x))dx`

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Given:`inttan^(-1)sqrt((1-x)/(1+x))dx`
`I=int tan^(-1)sqrt((1-x)/(1+x))dx`
let`x=cos2t implies t=(cos^(-1)x)/2`
`I=int tan^(-1) sqrt((1-cos2t)/(1+cos2t))dx`
`I=int tan^(-1) sqrt((1-(1-sin^2t))/(1+(2cos^2t-1))dx`
`I=int tan^(-1) (tan t)dx`
`I=int tdx`
`I=1/2 int cos^(-1)xdx`
...
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