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int0^4(dx)/(sqrt(x^2+9)...

`int_0^4(dx)/(sqrt(x^2+9)`

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`int_0^4(dx)/(sqrt(x^2+9)) =` `int_0^4(dx)/(sqrt(x^2+3^2))`
`=[In(x+sqrt(x^2+3^2)]_0^4`
`=In9-In3=In3`
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