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Verify thatint(2x+3)/(x^(2)+3x)dx = log|...

Verify that`int(2x+3)/(x^(2)+3x)dx = log|x^(2)+3x|+c`

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The correct Answer is:
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Let `I = int(2x+3)/(x^(2)+3x)dx`
Put `x^(2)+3x=t`
`rArr (2x+3)dx = dt`
`:. I = int'1/tdt = l og|t| + C`
`= log|(x^(2)+3x)|+C`
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