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Find int (2x+1)/((x-2)(x^(2)+4)) dx ....

Find ` int (2x+1)/((x-2)(x^(2)+4)) dx `.

Text Solution

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The correct Answer is:
`=(1)/(16) log |x| -(1)/(32) log(x^2+4)+(1)/(8(x^(2)+4))+(1)/(8) tan^(-1)((x)/(2))+(1)/(4)((x)/(4+x^(2)))+C`
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