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

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

Text Solution

Verified by Experts

Let,
`=int1/(x^2sqrt(1+x^2))\ dx`
`=int(1)/(x^2sqrt((x^2)(1+(1)/(x^2)))\ dx`

`=int(1)/(x^3sqrt(1+(1)/(x^2)))\ dx`

`1+(1)/(x^2)=t^2`

`-(2)/(x^3)dx=2tdt`

...
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