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Evaluate: int1/(x^2sqrt(1+x^2))dx...

Evaluate: `int1/(x^2sqrt(1+x^2))dx`

Text Solution

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`I= int dx/(x^2 sqrt(1+x^2)`
`= int dx/(x^2 sqrt(x^2(1+1/x^2)`
`I= int dx/(x^3sqrt(1+1/x^2)`
Let `1/x^2+1=t^2`
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