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Evaluate: intx/((x^2+4)sqrt(x^2+9))dx...

Evaluate: `intx/((x^2+4)sqrt(x^2+9))dx`

Text Solution

Verified by Experts

Let,
`x^2+9=t^2`
`x^2+4=t^2-5`

`2xdx=2tdt`

`xdx=tdt`

`=intx/((x^2+4)sqrt(x^2+9))dx`

`=int (tdt)/((t^2-5)t)`

`=int (dt)/((t^2-5))`

...
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