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Evaluate: int(sec^2x)/(1-tan^2x)dx...

Evaluate: `int(sec^2x)/(1-tan^2x)dx`

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`I = int (sec^2x)/(1-tan^2x)dx`
Let `tanx = t`, then, `sec^2xdx = dt`
Then, `I = int dt/(1-t^2)`
`=>I = 1/2 int [1/(1+t) + 1/(1-t)]dt`
`=> I = 1/2 int dt/(1+t) +1/2 int dt/(1-t)`
`=> I = 1/2log |1+t| - 1/2log |1-t| +c`
`=>I = 1/2 log |1+tanx| - 1/2log |1-tanx| +c`
`=>I = 1/2 log |(1+tanx)/(1-tanx)|+c`
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