1.

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

Answer»

Solution :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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