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Evaluate : int1^2(x+3)/(x(x+2))dx...

Evaluate : `int_1^2(x+3)/(x(x+2))dx`

Text Solution

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Given, `int_1^2(x+3)/(x(x+2))dx`
= `int_1^2(x+2+1)/(x(x+2))dx`
= `int_1^2 1/(x)+1/(x(x+2))dx`
=`int_1^2 1/(x)+1/2(2/(x(x+2)))dx`
=`int _(1)^2 3/2x-1/(x+2)`
or `int_(1)^2 3/2x-1/(x+2)`
...
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