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Evaluate: int1/(sqrt(t a n^(-1)x)(1+x^2)...

Evaluate: `int1/(sqrt(t a n^(-1)x)(1+x^2))dx`

Text Solution

Verified by Experts

I=`int1/(sqrt(t a n^(-1)x)(1+x^2))dx`
let `tanx=t`
=`1/(1+x^2)dx=dt`
So,I=`int dt/sqrt(t)`
=`2sqrt(t)+c`
=`2sqrt(tanx)+c`
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