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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 `u=sqrt(x^2+9)`
`dusqrt(x^2+9)=xdx`
Thus equation becomes,
`int(dusqrt(x^2+9))/((u^2-5)(sqrt(x^2+9)))`
`=int(du)/(u^2+9)`
...
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