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Evaluate: int1/(sqrt(3x+4)-sqrt(3x+1))dx...

Evaluate: `int1/(sqrt(3x+4)-sqrt(3x+1))dxdot`

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`int(1)/(sqrt(3x+4)-sqrt(3x+1))dx`
`=int(sqrt((3x+4))+sqrt((3x+1)))/((sqrt((3x+4))+sqrt((3x+1)))(sqrt((3x+4))-sqrt((3x+1))))dx`
`=int(sqrt((3x+4))+sqrt((3x+1)))/((3x+4)-(3x+1))dx`
`=(1)/(3)sqrt(3x+4)+sqrt(3x+1)dx`
`=(1)/(3)sqrt(3x+4)dx+(1)/(3)sqrt(3x+1)dx`
`=(1)/(3){((3x+4)^(3//2))/(3xx(3)/(2))}+(1)/(3){((3x+1)^(3//2))/(3xx(3)/(2))}+C`
`=(2)/(27){(3x+4)^(3//2)+(3x+1)^(3//2)}+C`
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