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Evaluate : int (1)/((3x +4)^(2)) " dx"...

Evaluate : `int (1)/((3x +4)^(2)) " dx"`

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`int (1)/((3x+4)^(2))" dx " " ""Let" 3x+4 =t`
`=int (3x+4)^(-2) " dx " :. " "3=(dt)/(dx)`
`=int t^(-2) (dt)/(c) " "rArr dx =(dt)/(3)`
`=(1)/(3) .(t^(-1))/(-1) +c`
` =-1/(3t) +c =-(1)/(3(3x+4))+c`
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