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int(6x-5)/(sqrt(3x^2-5x+1))dx...

`int(6x-5)/(sqrt(3x^2-5x+1))dx`

Text Solution

Verified by Experts

I=`int(6x-5)/(sqrt(3x^2-5x+1))dx`
Let,`3x^2-5x+1=t`
`(6x-5)dx=dt`
I=`int dt/sqrt(t)`
=`2sqrt(t)+c`
=`2sqrt(3x^2-5x+1)+c`
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