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Evaluate: int(sec^2x)/(sqrt(4+tan^2x))\ ...

Evaluate: `int(sec^2x)/(sqrt(4+tan^2x))\ dx`

Text Solution

Verified by Experts

I=`int(sec^2x)/(sqrt(4+tan^2x))\ dx`
let `tanx=t`
`sec^2xdx=dt`
`I=int (dt)/(sqrt(2^2+t^2))`
`I=log∣t+sqrt(t^2+4)​∣+c`
`I=log∣tanx+sqrt(tan^2x+4) ​∣+c`
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