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Evaluate: int1/((2x^2+3)sqrt(x^2-4))\ dx...

Evaluate: `int1/((2x^2+3)sqrt(x^2-4))\ dx`

Text Solution

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Let, `x^2-4=t^2`
`xdx=tdt`

`2x^2+3=2t^2+11`

`=int1/((2x^2+3)sqrt(x^2-4))\ dx`

`=int(tdt)/((2t^2+11)t)`

`=int(dt)/((2t^2+11))`

`=int(dt)/(2(t^2+11/2))`

`=int(dt)/(2(t^2+sqrt((11)/(2))^2))`

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