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Integrate the functions1/(cos^2x(1-tanx)...

Integrate the functions`1/(cos^2x(1-tanx)^2)`

Text Solution

Verified by Experts

We can write the given expression as,
`sec^2x/(1-tanx)^2`
Let `1 - tanx = t`
Then, `-sec^2.dx = dt`
So, `intsec^2x/(1-tanx)^2dx` becomes
`int-1/t^2dt`
`=1/t+c`
Putting value of `t = 1 - tanx`, our answer becomes, ...
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