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Integrate the following functions x/(9-4...

Integrate the following functions `x/(9-4x^2)`

Text Solution

Verified by Experts

Let t = `9-4x^2`. Then
`dt = -8x dx gt x dx = -1/8 dt`
therefore `int x/(9-4x^2) dx = int 1/t xx -1/8 dt`
=`-1/8 log|t|+c`
=-`1/8 log|9-4x^2| +c`
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